Question

simplify. express your answer using a single exponent.
$(x^{11})^{-3}$

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, multiply the exponents: $(a^m)^n = a^{m \times n}$

Step2: Calculate the new exponent

Multiply $11$ and $-3$:
$11 \times (-3) = -33$
So $(x^{11})^{-3} = x^{-33}$

Answer:

$x^{-33}$