Question 511 Mark
Write the following numbers in the expanded exponential forms:
$20068$
AnswerWe have:
$20068=2 \times 10^4+0 \times 10^3+0 \times 10^2+6 \times 10^1+8 \times 10^0$
View full question & answer→Question 521 Mark
Express the following rational numbers in power notation: $-\frac{64}{125}$
Answer$-\frac{64}{125}=\Big(-\frac{4}{5}\Big)^3$ Because $4^3 = 64$ and $5^3 = 125$
View full question & answer→Question 531 Mark
Express the following numbers in the standard form:
$5,00,00,000$
Answer$5,00,00,000=5,00,00,000.00$
$=5 \times 10^7$
Since, the decimal point is moved seven places to the left
View full question & answer→Question 541 Mark
Write $9 \times 9 \times 9 \times 9 \times 9$ in exponential form with base $3$.
Answer$9 \times 9 \times 9 \times 9 \times 9=(9)^5=\left(3^2\right)^5$
$=3^{10}$
View full question & answer→Question 551 Mark
Express the following numbers in the standard form: $723 \times 10^9$
Answer$723 \times 10^9=7.23 \times 10^2 \times 10^9$
$=7.23 \times 10^{11}$
Since, the decimal point is moved two places to the left.
View full question & answer→Question 561 Mark
Find the values of the following:
$13^2$
Answer$13^2 = 13 × 13$
$= 169$
View full question & answer→Question 571 Mark
Find the values of the following: $(-5)^5$
AnswerWe know that If 'a' is natural number, then
$(-a)^{\text {even number }}=$ positive number
$(-a)^{\text {even number }}=$ negative number
We have,
$(-5)^5=(-5) \times(-5) \times(-5) \times(-5) \times(-5)$
$=-3125$
View full question & answer→Question 581 Mark
Express the numbers appearing in the following statements in the standard form: Diameter of the earth is $1, 27, 56,000$ metres.
AnswerThe distance between the earth and the moon is $3.84 \times 10^8$ metres.
Diameter of the earth is $1.2756 \times 10^7$ metres.
Since, the decimal point is moved seven places to the left
View full question & answer→Question 591 Mark
Express of the following numbers as a product of powers of thier prime factors: $450$
Answer$450=2 \times 3 \times 3 \times 5 \times 5$
$=2 \times 3^2 \times 5^2$
View full question & answer→Question 601 Mark
Express of the following as a rational number of the form $\frac{\text{p}}{\text{q}}$
$\Big(\frac{3}{7}\Big)^2$
Answer $\Big(\frac{3}{7}\Big)^2=\frac{3\times3}{7\times7}$
$=\frac{9}{49}$
View full question & answer→Question 611 Mark
Express the following in exponential form:
$729$
View full question & answer→Question 621 Mark
Write the following numbers in the expanded exponential forms:$7805192$
AnswerWe have:
$7805192=7 \times 10^6+8 \times 10^5+0 \times 10^4+5 \times 10^3+\times 10^2+9 \times 10^1+2 \times 10^0$
View full question & answer→Question 631 Mark
Express the following in exponential form:
$512$
View full question & answer→Question 641 Mark
Express the following numbers in the standard form:
$846 \times 10^7$
Answer$846 \times 10^7=8.46 \times 10^2 \times 10^7$
$=8.46 \times 10^9$
Since, the decimal point is moved two places to the left.
View full question & answer→Question 651 Mark
Express the following in exponential form: $(-2) \times (-2) \times (-2) \times (-2) \times a \times a \times a$
Answer$(-2) \times(-2) \times(-2) \times(-2) \times a \times a \times a$
$=(-2)^4 a^3$
View full question & answer→Question 661 Mark
Express the following in exponential form: $(-5) \times (-5) \times (-5)$
Answer$(-5) \times(-5) \times(-5)$
$=(-5)^3$
View full question & answer→Question 671 Mark
Write the following numbers in the usual form:
$4.83 \times 10^7$
Answer$4.83 \times 10^7=483 \times 10^{(7-2)}$
$=483 \times 10^5$
$=4,83,00,000$
View full question & answer→Question 681 Mark
Express the following in exponential form: $675$
Answer$675=3 \times 3 \times 3 \times 5 \times 5$
$=3^3 \times 5^2$
View full question & answer→Question 691 Mark
Express the following number in the standard form:
$723 \times 10^9$
Answer$7.23 \times 10^{11}$
View full question & answer→Question 701 Mark
Express the following number in the standard form:
$846 \times 10^7$
View full question & answer→Question 711 Mark
Express the following number in the standard form:
$3,18,65,00,000$
Answer$31865 \times 10^{\circ}$
View full question & answer→Question 721 Mark
Express the following number in the standard form:
$5,00,00,000$
View full question & answer→Question 731 Mark
Express the following number in the standard form:
3908.78
Answer$3.90878 \times 10^3$
View full question & answer→Question 741 Mark
Write $9 \times 9 \times 9 \times 9 \times 9$ in exponential form with base 3 .
View full question & answer→Question 751 Mark
Using laws of exponent, simplify and write the answer in exponential form:
$\left(5^{21} \div 5^{13}\right) \times 5^7$
View full question & answer→Question 761 Mark
Using laws of exponent, simplify and write the answer in exponential form:
$3^7 \times 2^7$
View full question & answer→Question 771 Mark
Using laws of exponents, simplify and write the answer in exponential form:
$\left(3^2\right)^5 \div 3^4$
View full question & answer→Question 781 Mark
Using laws of exponent, simplify and write the answer in exponential form:
$\left(7^2\right)^3$
View full question & answer→Question 791 Mark
Using laws of exponent, simplify and write the answer in exponential form:
$5^{12} \div 5^3$
View full question & answer→Question 801 Mark
Using laws of exponent, simplify and write the answer in exponential form:
$2^3 \times 2^4 \times 2^5$
View full question & answer→Question 811 Mark
Express the following in exponential form:
$\left(\frac{-2}{3}\right) \times\left(\frac{-2}{3}\right) \times x \times x \times x$
Answer$\left(\frac{-2}{3}\right)^2 \times x^3$
View full question & answer→Question 821 Mark
Express the following in exponential form:
$(-2) \times(-2) \times(-2) \times(-2) \times a \times a \times a$
Answer$(-2)^4 \times a^3$
View full question & answer→Question 831 Mark
Express the following in exponential form:
$x \times x \times x \times a \times a \times b \times b \times b$
View full question & answer→Question 841 Mark
Express the following in exponential form:
$\frac{4}{3} \times \frac{4}{3} \times \frac{4}{3} \times \frac{4}{3} \times \frac{4}{3}$
Answer$\left(\frac{4}{3}\right)^5$
View full question & answer→Question 851 Mark
Express the following in exponential form:
$\frac{-5}{7} \times \frac{-5}{7} \times \frac{-5}{7} \times \frac{-5}{7}$
Answer$\left(\frac{-5}{7}\right)^4$
View full question & answer→Question 861 Mark
Express the following in exponential form:
$(-5) \times(-5) \times(-5)$
View full question & answer→Question 871 Mark
Simplify:
$\left(\frac{-4}{5}\right)^5$
Answer$\frac{-1024}{3125}$
View full question & answer→Question 881 Mark
Simplify:
$\left(\frac{-2}{3}\right)^4$
View full question & answer→Question 891 Mark
Simplify:
$\left(\frac{3}{4}\right)^2$
View full question & answer→Question 901 Mark
Simplify:
$(-2)^5 \times(-10)^2$
View full question & answer→Question 911 Mark
Simplify:
$(-3)^2 \times(-5)^3$
View full question & answer→Question 921 Mark
Simplify:
$(-2) \times(-3)^3$
View full question & answer→Question 931 Mark
Simplify:
$5^2 \times 3^4$
View full question & answer→Question 941 Mark
Simplify:
$2^4 \times 3^2$
View full question & answer→Question 951 Mark
Simplify:
$3^2 \times 10^4$
View full question & answer→Question 961 Mark
Simplify:
$3^3 \times 5^2$
View full question & answer→Question 971 Mark
Simplify:
$2^2 \times 5^3$
View full question & answer→Question 981 Mark
Simplify:
$3 \times 10^2$
View full question & answer→Question 991 Mark
Find the each of the following:
$(-5)^5$
View full question & answer→Question 1001 Mark
Find the each of the following:
$(-3)^4$
View full question & answer→