Sample quiz on exponent laws
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  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: $(2^3)^{-2}\times 4^{5}$.
    $2^4$
    $4^4$
    $4^1$
    $2^1$