Question

according to exponent rules when we raise the power to a power we ______ the exponents.
A: ADD
B: SUBTRACT
C: MULTIIPLY
D: DIVIDE

Answer 1

C. Multiply

According to exponent rules when we raise the power to a power, we multiply the exponents.

Explanation:

Let us understand the statement with an example:

Let $a\neq 0$ and $m,n\in\mathbb{R}$

Then $(a^{m})^{n}=a^{m\times n}=a^{mn}$

$\Rightarrow (a^{m})^{n}=a^{mn}$

More rules:

• $a^{m}\times a^{n}=a^{m+n}$

• $a^{m}\times b^{m}=(ab)^{m}$

• $a^{m}\div a^{n}=a^{m-n}$

• $a^{m}\div b^{m}=(\dfrac{a}{b})^{m}$

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