Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(7^{2} \cdot 4^{5}\right)^{-5}$

A) $7^{7} \cdot 4^{7}$

B) $7^{10} \cdot 4^{25}$

C) $\frac{1}{7^{7} \cdot 4^{7}}$

D) $\frac{1}{7^{10} \cdot 4^{25}}$

Question

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\left(7^{2} \cdot 4^{5}\right)^{-5}$

A) $7^{7} \cdot 4^{7}$

B) $7^{10} \cdot 4^{25}$

C) $\frac{1}{7^{7} \cdot 4^{7}}$

D) $\frac{1}{7^{10} \cdot 4^{25}}$

Quizplus · Accepted Answer

When simplifying the expression, apply the negative exponent rule and the power of a product rule: $(a^m \cdot b^n)^{-p} = a^{-mp} \cdot b^{-np}$. Thus, $(7^2 \cdot 4^5)^{-5} = 7^{-10} \cdot 4^{-25}$, which simplifies to $\frac{1}{7^{10} \cdot 4^{25}}$.

Simplify the Expression So That No Negative Exponents Appear in the Final