QuestionSimplify the expression $(2 a^{-1})^{2}(a^{3})^{-2}$ to eliminate negative exponents.

Studdy Solution
Finally, we use the rule of exponents which states that $a^{-n} =1/a^n$ to rewrite the expression with positive exponents.
$$4 \cdot a^{-8} = \frac{4}{a^{8}}$$The expression $\left(2 a^{-1}\right)^{2}\left(a^{3}\right)^{-2}$ simplifies to $\frac{4}{a^{8}}$ with no negative exponents.