Exponents and Powers - Class X
Questions on exponent properties, exponent equations, and comparing numbers with exponents
Questions
Evaluate the product of $2.3\times 10^4$ and $3\times 10^3$.
- $6.9\times 10^4$
- $6.9\times 10^7$
- $6.9\times 10^8$
- $6.9\times 10^6$
Evaluate $\dfrac{6.3\times 10^3}{3\times 10^7}$
- $2\times 10^{-3}$
- $2.1\times 10^{-3}$
- $2.1\times 10^{-4}$
- $2\times 10^{-5}$
The average distance between the Sun and a certain planet is approximately $\displaystyle 2.3\times { 10 }^{ 14 }$ inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately $\displaystyle 3.9\times { 10 }^{ 4 }$ inches )
- $\displaystyle 7.1\times { 10 }^{ 8 }$
- $\displaystyle 5.9\times { 10 }^{ 9 }$
- $\displaystyle 1.6\times { 10 }^{ 10 }$
- $\displaystyle 1.6\times { 10 }^{ 111 }$
- $\displaystyle 5.9\times { 10 }^{ 11 }$
Simplify: $\dfrac{1.8\times 10^{11}}{2\times 10^4}$
- $9\times 10^7$
- $0.9\times 10^6$
- $0.9\times 10^5$
- $9\times 10^6$
Express $(3000)^2\times (20)^3$ in scientific notation:
- $7.2\times 10^{10}$
- $3.6\times 10^{8}$
- $6\times 10^9$
- $4.8\times 10^{12}$
Which of the following is greater than 1000.01 ?
- 0.00010001 x 10$\displaystyle ^{7}$
- 0.00001 x 10$\displaystyle ^{8}$
- 1.1 x 10$\displaystyle ^{2}$
- 1.00001 x 10$\displaystyle ^{3}$
Compare the folllowing:
- $<$
- $>$
- $=$
- None of these
Place the following list of numbers with the given labels in order of greatest to least.
$F={({10}^{10})}^{10}$
$G={10}^{10}$ ${10}^{10}$
$H=\cfrac{{10}^{100}}{{10}^{10}}$
$I=100$
- $F,G,H,I$
- $G,F,H,I$
- $F,H,G,I$
- $H,F,G,I$