QuestionSimplify the expression $\left(x^{-11}\right)^{-3}$ .

Studdy Solution

STEP 1

Assumptions1. We are dealing with real numbers. . The base of the power is $x^{-11}$ .
3. The exponent is $-3$ .
4. We will use the rule of exponents that states $(a^m)^n = a^{mn}$ .

STEP 2

We will apply the rule of exponents to simplify the expression.
$\left(x^{-11}\right)^{-} = x^{-11 \times -}$

STEP 3

Calculate the new exponent by multiplying $-11$ and $-3$ .
$x^{-11 \times -3} = x^{33}$ The simplified form of $\left(x^{-11}\right)^{-3}$ is $x^{33}$ .

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