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10 questions · timed · auto-graded

Question 11 Mark
If $(-2)^n=-128$, then $n=$ ..............
Answer
If $(-2)^n=-128$, then $n=(-2)^7$ $\therefore n=7$
2128
264
232
216
28
24
22
1
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Question 31 Mark
$\left(\frac{5}{13}\right)^{10} \div\left[\left(\frac{5}{13}\right)^3\right]^2=\left(\frac{5}{13}\right)\ldots\ldots\ldots\ldots$
Answer
$\left(\frac{5}{13}\right)^{10} \div\left[\left(\frac{5}{13}\right)^3\right]^2$
$=\left(\frac{5}{13}\right)^{10} \div\left(\frac{5}{13}\right)^6$
$=\left(\frac{5}{13}\right)^{10-6}$
$=\left(\frac{5}{13}\right)^4$
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Question 51 Mark
$(-3)^2 \times(-1)^{2017}= ........$
Answer
$(-3)^2 \times(-1)^{2017}$
$=(-3) \times(-3) \times(-1) \{\because 2017$ is odd $\}$
$=9 \times(-1)=-9$
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Question 71 Mark
If $(100)^0=10^n$, then the value of $n$ is $........$
Answer
If $(100)^0=10^n$, then the value of $n$ is $0.$
$\left\{\because\left(10^2\right)^0=10^{ n } \Rightarrow 10^0=10^{ n }\right\}$
$\therefore n =0$
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Question 81 Mark
The expression $\left(x^2 y^5\right)^3$ in the simplest form is .............
Answer
The expression $\left(x^2 y^5\right)^3$ in the simplest form is $\left(x^2\right)^3 \times\left(y^5\right)^3=x^6 y^{15}$.
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Question 91 Mark
If the base is $\frac{-3}{4}$ and exponent is 5 , then exponential form is ..........
Answer
If the base is $\frac{-3}{4}$ and exponent is 5 , then exponential form is $\left(-\frac{3}{4}\right)^5$
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Question 101 Mark
In the expression $(-5)^9$, exponent $=$ ............ and base $=$ ............
Answer
In the expression $(-5)^9$, exponent $=9$ and base $=-5$.
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Fill in the blanks. - MATHS STD 7 Questions - Vidyadip