Question

simplify. express your answer using exponents.
$(k^{5}m^{-11})^{7}$

Explanation:

Step1: Apply power of a product rule

$(ab)^n = a^n b^n$, so:
$(k^5 m^{-11})^7 = (k^5)^7 \cdot (m^{-11})^7$

Step2: Apply power of a power rule

$(a^m)^n = a^{m \cdot n}$, so:
$(k^5)^7 = k^{5 \times 7} = k^{35}$
$(m^{-11})^7 = m^{-11 \times 7} = m^{-77}$

Step3: Combine the results

Multiply the simplified terms together.

Answer:

$k^{35}m^{-77}$