MCQ 11 Mark
Mark $(\checkmark)$ against the correct answer of the following: $\Big(\frac{-1}{3}\Big)^{3}=\ ?$
- A
$\frac{-1}{9}$
- B
$\frac{1}{9}$
- ✓
$\frac{-1}{27}$
- D
$\frac{1}{27}$
AnswerCorrect option: C. $\frac{-1}{27}$
$\Big(\frac{-1}{3}\Big)^{3}$
$=\frac{-1^3}{3^3}$
$=\frac{-1}{27}$
View full question & answer→MCQ 21 Mark
Tick $(\checkmark)$ the correct answer the following : $0.000367 \times 10^4$ in usual form is:
- ✓
$3.67$
- B
$36.7$
- C
$0.367$
- D
$0.0367$
AnswerCorrect option: A. $3.67$
$0.000367\times10^4$
$=0.000367\times10000$
$=\frac{367}{1000000}\times10000$
$=\frac{367}{100}$
$=3.67$
View full question & answer→MCQ 31 Mark
Tick $(\checkmark)$ the correct answer the following:
$\Big(-\frac{1}{2}\Big)^{3}=\ ?$
- A
$\frac{-1}{6}$
- B
$\frac{1}{6}$
- ✓
$\frac{1}{8}$
- D
$\frac{-1}{8}$
AnswerCorrect option: C. $\frac{1}{8}$
$\Big(\frac{-1}{2}\Big)^{3}$
$=\Big(\frac{-1}{2}\Big)\times\Big(\frac{-1}{2}\Big)\times\Big(\frac{-1}{2}\Big)$
$=\frac{-1}{8}$
View full question & answer→MCQ 41 Mark
Tick $(\checkmark)$ the correct answer the following: The value of $\left(3^{-1}+4^{-1}\right)^{-1} \div 5^{-1}$ is :
- A
$\frac{7}{10}$
- ✓
$\frac{60}{7}$
- C
$\frac{7}{5}$
- D
$\frac{7}{15}$
AnswerCorrect option: B. $\frac{60}{7}$
$\big(-3^{-1}+4^{-1}\big)\div5^{-1}$
$=\Big(\frac{1}{3}+\frac{1}{4}\Big)^{-1}\div\frac{1}{5}$
$=\Big(\frac{4+3}{12}\Big)^{-1}\div\frac{1}{5}$
$=\Big(\frac{7}{12}\Big)^{-1}\div\frac{1}{5}$
$=\Big(\frac{12}{7}\Big)\div\frac{1}{5}$
$=\Big(\frac{12}{7}\Big)\times{5}$
$=\frac{60}{7}$
View full question & answer→MCQ 51 Mark
Mark $(\checkmark)$ against the correct answer of the following: The value of $(-3)^{-3}$ is:
- A
$-27$
- B
$9$
- ✓
$\frac{-1}{27}$
- D
$\frac{1}{27}$
AnswerCorrect option: C. $\frac{-1}{27}$
$(-3)^{-3}=\Big(\frac{1}{-3}\Big)^3$
$=\frac{1^3}{-3^3}$
$=\frac{1}{-27}$
$=\frac{1\times-1}{-27\times-1}$
$=\frac{-1}{27}$
View full question & answer→MCQ 61 Mark
Tick $(\checkmark)$ the correct answer the following: The value of $(-2)^{-5}$ is $-$
- A
$-32$
- ✓
$\frac{-1}{32}$
- C
$32$
- D
$\frac{1}{32}$
AnswerCorrect option: B. $\frac{-1}{32}$
$(-2)^{-5}$
$=\frac{1}{(-2)^5}$
$=\frac{1}{-32}$
$=\frac{-1}{32}\Big[\because(\text{x})^{-\text{m}}=\frac{1}{\text{x}^{\text{m}}}\Big]$
View full question & answer→MCQ 71 Mark
Tick $(\checkmark)$ the correct answer the following: $\bigg\{\Big(\frac{1}{3}\Big)^{-3}-\Big(\frac{1}{2}\Big)^{-3}\bigg\}\div\Big(\frac{1}{4}\Big)^{-3}=\ ?$
- ✓
$\frac{19}{64}$
- B
$\frac{27}{16}$
- C
$\frac{64}{19}$
- D
$\frac{16}{25}$
AnswerCorrect option: A. $\frac{19}{64}$
$\bigg\{\Big(\frac{1}{3}\Big)^{-3}-\Big(\frac{1}{2}\Big)^{-3}\bigg\}\div\Big(\frac{1}{4}\Big)^{-3}$
$=\big(3^3-2^3\big)\div(4)^3$
$=(27-8)\div64$
$=\frac{19}{64}$
View full question & answer→MCQ 81 Mark
Tick $(\checkmark)$ the correct answer the following: The value of $x$ for which $\Big(\frac{7}{12}\Big)^{-4}\times\Big(\frac{7}{12}\Big)^{3\text{x}}=\Big(\frac{7}{12}\Big)^5$, is:
Answer$\Big(\frac{7}{12}\Big)^{-4}\times\Big(\frac{7}{12}\Big)^{3\text{x}}=\Big(\frac{7}{12}\Big)^5$
$\Rightarrow\Big(\frac{7}{12}\Big)^{3\text{x}-4}$
$=\Big(\frac{7}{12}\Big)^5$
$=3\text{x}-4=5$
$=3\text{x}=5+4=9$
$\Rightarrow\text{x}=\frac{9}{3}$
$=3$
View full question & answer→MCQ 91 Mark
Tick $(\checkmark)$ the correct answer the following: $3670000$ in standard form is:
- A
$367 \times 10^4 $
- B
$36.7 \times 10^5$
- ✓
$3.67 \times 10^6$
- D
AnswerCorrect option: C. $3.67 \times 10^6$
$3670000 = 3.670000 \times 1000000$
$=3.67 \times 10^6$
View full question & answer→MCQ 101 Mark
Tick $(\checkmark)$ the correct answer the following: $\Big(\frac{-3}{4}\Big)^{2}=\ ?$
- A
$\frac{-9}{16}$
- ✓
$\frac{9}{16}$
- C
$\frac{16}{9}$
- D
$\frac{-16}{9}$
AnswerCorrect option: B. $\frac{9}{16}$
$\Big(\frac{-3}{4}\Big)^{2}$
$=\Big(\frac{-3}{4}\Big)\times\Big(\frac{-3}{4}\Big)$
$=\frac{9}{16}$
View full question & answer→MCQ 111 Mark
Mark $(\checkmark)$ against the correct answer of the following: The value of $\Big(\frac{3}{4}\Big)^{-3}$ is:
- A
$\frac{-27}{64}$
- ✓
$\frac{64}{27}$
- C
$\frac{-9}{4}$
- D
$\frac{27}{64}$
AnswerCorrect option: B. $\frac{64}{27}$
$=\Big(\frac{3}{4}\Big)^{-3}$
$=\Big(\frac{4}{3}\Big)^{3}$
$=\frac{4^3}{3^3}$
$=\frac{64}{27}$
View full question & answer→MCQ 121 Mark
Tick $(\checkmark)$ the correct answer the following : $0.0000463$ in standard form is :
- A
$ 463 \times 10^{-7} $
- ✓
$ 4.63 \times 10^{-5} $
- C
$ 4.63 \times 10^{-9} $
- D
$ 46.3 \times 10^{-6} $
AnswerCorrect option: B. $ 4.63 \times 10^{-5} $
$0.0000463$
$=\frac{463}{10000000}$
$=\frac{463}{10^2\times10^5}$
$=\frac{4.63}{10^5}$
$=4.63\times10^{-5}$
View full question & answer→MCQ 131 Mark
Tick $(\checkmark)$ the correct answer the following: $\Big(\frac{-5}{3}\Big)^{-1}=\ ?$
- A
$\frac{5}{3}$
- B
$\frac{3}{5}$
- ✓
$\frac{-3}{5}$
- D
AnswerCorrect option: C. $\frac{-3}{5}$
$\Big(\frac{-5}{3}\Big)^{-1}=\Big(\frac{-3}{5}\Big)^{1}$
$=\frac{-3}{5}\ \bigg\{\because\Big(\frac{1}{\text{x}}\Big)^{-\text{m}}=\text{x}^\text{m}\bigg\}$
View full question & answer→MCQ 141 Mark
Tick $(\checkmark)$ the correct answer the following: $\big(2^{-5}\div2^{−2}\big) = ?$
- A
$\frac{1}{128}$
- B
$\frac{-1}{128}$
- C
$-\frac{1}{8}$
- ✓
$\frac{1}{8}$
AnswerCorrect option: D. $\frac{1}{8}$
$\big(2^{-5}\div2^{-2}\big)$
$=2^{-5-(-2)}$
$=2^{-5+2}$
$=2^{-3}\{\because\text{a}^\text{m}\div\text{a}^\text{n}=\text{a}^{\text{m-n}}\}$
$=\frac{1}{2^3}$
$=\frac{1}{8}$
View full question & answer→MCQ 151 Mark
Tick $(\checkmark)$ the correct answer the following : If $(2^{3x-1}+ 10) \div 7 = 6$, then $x$ is equal to :
Answer$\big[2^{3\text{x}-1}+10\big]\div7=6$
$=2^{3\text{x}-1}+10=6\times7$
$=2^{3\text{x}-1}+10=42 $
$\Rightarrow2^{3\text{x}-1}=42-10$
$\Rightarrow2^{3\text{x}-1}=32$
$\Rightarrow2^{3\text{x}-1}=(2)^5$
$\therefore3\text{x}-1=5$
$\Rightarrow3\text{x}=5+1$
$\Rightarrow3\text{x}=6$
$\Rightarrow\text{x}=\frac{6}{3}$
$\Rightarrow\text{x}=2$
View full question & answer→MCQ 161 Mark
Mark $(\checkmark)$ against the correct answer of the following : $(3^{-6}\div 3^4) = ?$
- A
$ 3^{-2} $
- B
$ 3^2 $
- ✓
$ 3^{-10} $
- D
$ 3^{10} $
AnswerCorrect option: C. $ 3^{-10} $
$=\big(3^{-6}\div3^4\big)$
$=\Big(\frac{1}{3^{-6}}\div3^4\Big)$
$=\frac{1}{3^6}\times\frac{1}{3^4}$
$=\frac{1}{3^{(6+4)}}$
$=\frac{1}{3^{10}}$
$=3^{-10}$
View full question & answer→MCQ 171 Mark
Mark $(\checkmark)$ against the correct answer of the following: $\Big(\frac{3}{5}\Big)^{0}=\ ?$
- A
$\frac{5}{3}$
- B
$\frac{3}{5}$
- ✓
$1$
- D
$0$
AnswerUsing the law of exponents, which says $\Big(\frac{\text{a}}{\text{b}}\Big)^0=1$,
We get, $\Big(\frac{3}{5}\Big)^{0}$
View full question & answer→MCQ 181 Mark
Tick $(\checkmark)$ the correct answer the following : The value of $(-3)^{-4}$ is :
- A
$12$
- B
$81$
- C
$-\frac{1}{12}$
- ✓
$\frac{1}{81}$
AnswerCorrect option: D. $\frac{1}{81}$
$(-3)^{-4}$
$=\Big(\frac{1}{-3}\Big)^{-4}$
$=\frac{1}{(-3)\times(-3)\times(-3)\times(-3)}$
$=\frac{1}{81}$
View full question & answer→MCQ 191 Mark
Tick $(\checkmark)$ the correct answer the following: $\Big(\frac{2}{3}\Big)^0=\ ?$
- A
$\frac{3}{2}$
- B
$\frac{2}{3}$
- ✓
$1$
- D
$0$
Answer$\Big(\frac{2}{3}\Big)^0=1\ \big(\because\text{x}^0=1\big)$
View full question & answer→MCQ 201 Mark
Tick $(\checkmark)$ the correct answer the following: $\Big(\frac{1}{2}\Big)^{-2}+\Big(\frac{1}{3}\Big)^{-2}+\Big(\frac{1}{4}\Big)^{-2}$
- A
$\frac{61}{144}$
- B
$\frac{144}{61}$
- ✓
$29$
- D
$\frac{1}{29}$
Answer$\Big(\frac{1}{2}\Big)^{-2}+\Big(\frac{1}{3}\Big)^{-2}+\Big(\frac{1}{4}\Big)^{-2}$
$=(2)^2+(3)^2+(4)^2$
$=4+9+16\ \because\Big(\frac{1}{\text{x}}\Big)^{-\text{m}}=\text{x}^\text{m}$
$=29$
View full question & answer→MCQ 211 Mark
Tick $(\checkmark)$ the correct answer the following: The value of $\Big(\frac{2}{5}\Big)^{-3}$ is:
- A
$-\frac{8}{125}$
- B
$\frac{25}{4}$
- ✓
$\frac{125}{8}$
- D
$-\frac{2}{5}$
AnswerCorrect option: C. $\frac{125}{8}$
$\Big(\frac{2}{5}\Big)^{-3}$
$=\Big(\frac{5}{2}\Big)^3$
$=\frac{5\times5\times5}{2\times2\times2}$
$=\frac{125}{8}$
View full question & answer→MCQ 221 Mark
Mark $(\checkmark)$ against the correct answer of the following: $\Big(\frac{-6}{5}\Big)^{-1}=\ ?$
- A
$\frac{6}{5}$
- B
$\frac{-6}{5}$
- C
$\frac{5}{6}$
- ✓
$\frac{-5}{6}$
AnswerCorrect option: D. $\frac{-5}{6}$
$\Big(\frac{-6}{5}\Big)^{-1}$
$=\Big(\frac{5}{-6}\Big)^{1}$
$=\frac{5}{-6}$
$=\frac{5\times-1}{-6\times-1}$
$=\frac{-5}{6}$
View full question & answer→MCQ 231 Mark
$0.000367 \times 10^4$ in usual form is
View full question & answer→MCQ 241 Mark
0.0000463 in standard form is
- A
$463 \times 10^{-7}$
- ✓
$4.63 \times 10^{-5}$
- C
$4.63 \times 10^{-9}$
- D
$46.3 \times 10^{-6}$
AnswerCorrect option: B. $4.63 \times 10^{-5}$
View full question & answer→MCQ 251 Mark
3670000 in standard form is
- A
$367 \times 10^4$
- B
$36.7 \times 10^5$
- ✓
$3.67 \times 10^6$
- D
AnswerCorrect option: C. $3.67 \times 10^6$
View full question & answer→MCQ 261 Mark
$\left(\frac{-3}{4}\right)^2=?$
- A
$\frac{-9}{16}$
- ✓
$\frac{9}{16}$
- C
$\frac{16}{9}$
- D
$\frac{-16}{9}$
AnswerCorrect option: B. $\frac{9}{16}$
View full question & answer→MCQ 271 Mark
$\left(-\frac{1}{2}\right)^3=?$
- A
$\frac{-1}{6}$
- B
$\frac{1}{6}$
- C
$\frac{1}{8}$
- ✓
$\frac{-1}{8}$
AnswerCorrect option: D. $\frac{-1}{8}$
View full question & answer→MCQ 281 Mark
$\left(\frac{-5}{3}\right)^{-1}=?$
- A
$\frac{5}{3}$
- B
$\frac{3}{5}$
- ✓
$\frac{-3}{5}$
- D
AnswerCorrect option: C. $\frac{-3}{5}$
View full question & answer→MCQ 291 Mark
$\left(\frac{2}{3}\right)^0=?$
- A
$\frac{3}{2}$
- B
$\frac{2}{3}$
- ✓
- D
$0$
View full question & answer→MCQ 301 Mark
If $\left(2^{3 x-1}+10\right) \div 7=6$, then $x$ is equal to
View full question & answer→MCQ 311 Mark
The value of $x$ for which $\left(\frac{7}{12}\right)^{-4} \times\left(\frac{7}{12}\right)^{3 x}=\left(\frac{7}{12}\right)^0$, is
View full question & answer→MCQ 321 Mark
$\left[\left\{\left(-\frac{1}{2}\right)^2\right\}^{-2}\right]^{-1}=?$
- ✓
$\frac{1}{16}$
- B
- C
$-\frac{1}{16}$
- D
AnswerCorrect option: A. $\frac{1}{16}$
View full question & answer→MCQ 331 Mark
$\left\{\left(\frac{1}{3}\right)^{-3}-\left(\frac{1}{2}\right)^{-3}\right\} \div\left(\frac{1}{4}\right)^{-3}=?$
- ✓
$\frac{19}{64}$
- B
$\frac{27}{16}$
- C
$\frac{64}{19}$
- D
$\frac{16}{25}$
AnswerCorrect option: A. $\frac{19}{64}$
View full question & answer→MCQ 341 Mark
$\left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2}=?$
- A
$\frac{61}{144}$
- B
$\frac{144}{61}$
- ✓
- D
$\frac{1}{29}$
View full question & answer→MCQ 351 Mark
The value of $\left(3^{-1}+4^{-1}\right)^{-1} \div 5^{-1}$ is
- A
$\frac{7}{10}$
- ✓
$\frac{60}{7}$
- C
$\frac{7}{5}$
- D
$\frac{7}{15}$
AnswerCorrect option: B. $\frac{60}{7}$
View full question & answer→MCQ 361 Mark
$\left(2^{-5} \div 2^{-2}\right)=?$
- A
$\frac{1}{128}$
- B
$\frac{-1}{128}$
- C
$-\frac{1}{8}$
- ✓
$\frac{1}{8}$
AnswerCorrect option: D. $\frac{1}{8}$
View full question & answer→MCQ 371 Mark
The value of $(-2)^{-5}$ is
- A
- ✓
$\frac{-1}{32}$
- C
- D
$\frac{1}{32}$
AnswerCorrect option: B. $\frac{-1}{32}$
View full question & answer→MCQ 381 Mark
The value of $(-3)^{-4}$ is
- A
- B
- C
$-\frac{1}{12}$
- ✓
$\frac{1}{81}$
AnswerCorrect option: D. $\frac{1}{81}$
View full question & answer→MCQ 391 Mark
The value of $\left(\frac{2}{5}\right)^{-3}$ is
- A
$-\frac{8}{125}$
- B
$\frac{25}{4}$
- ✓
$\frac{125}{8}$
- D
$-\frac{2}{5}$
AnswerCorrect option: C. $\frac{125}{8}$
View full question & answer→