# Sample quiz on exponent laws Main home here.

1. What is the correct rule for multiplying two powers with the same base? $a^m \times a^n=\cdots$
$a^{m\times n}$
$a^{m+n}$
$a^{m-n}$
$a^{m\div n}$
2. What is the correct rule for dividing two powers with the same base? $\frac{a^{m}}{a^n}=\cdots$
$a^{m+n}$
$a^{m\div n}$
$a^{m-n}$
$a^{n-m}$
3. Suppose that $a\neq 0$. What is the value of $a^0$?
$0$
$1$
$a$
$\infty$
4. What is the correct rule for power of a power? For example, $(a^m)^n=\cdots$?
$a^{m\times n}$
$a^{m\times m}$
$a^{n\times n}$
$a^{m\div n}$
5. Write $2^3\times 2^7$ as a single power.
$4^{21}$
$2^4$
$4^{10}$
$2^{10}$
6. Write $\frac{3^6}{3^4}$ as a single power.
$1^2$
$3^2$
$3^{-2}$
$3^{10}$
7. Write $(5^2)^3$ as a single power.
$5^5$
$25^5$
$25^6$
$5^6$
8. Evaluate $2^{-3}\times 2^{7}$.
$64$
$16$
$256$
$1024$
9. Evaluate $(3^2)^3$.
$27$
$81$
$243$
$729$
10. Write as a single power with positive exponent: $(2^3)^{-2}\times 4^{5}$.
$2^4$
$4^4$
$4^1$
$2^1$