Sample quiz on exponent laws
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- What is the correct rule for multiplying two powers with the same base? $a^m \times a^n=\cdots$
- What is the correct rule for dividing two powers with the same base? $\frac{a^{m}}{a^n}=\cdots$
- Suppose that $a\neq 0$. What is the value of $a^0$?
- What is the correct rule for
power of a power
? For example, $(a^m)^n=\cdots$?
- Write $2^3\times 2^7$ as a single power.
- Write $\frac{3^6}{3^4}$ as a single power.
- Write $(5^2)^3$ as a single power.
- Evaluate $2^{-3}\times 2^{7}$.
- Evaluate $(3^2)^3$.
- Write as a single power with positive exponent: $(2^3)^{-2}\times 4^{5}$.