Simplify. Write the answer with only positive exponents. Assume that all variables represent nonzero real numbers.
-$\left(2 x^{3} y^{5}\right)^{2}\left(5 y^{3}\right)^{3}$

A) $10 x^{6} y^{19}$

B) $10 x^{3} y^{8}$

C) $500 x^{6} y^{19}$

D) $500 x^{5} y^{13}$

Question

Simplify. Write the answer with only positive exponents. Assume that all variables represent nonzero real numbers.
-$\left(2 x^{3} y^{5}\right)^{2}\left(5 y^{3}\right)^{3}$

A) $10 x^{6} y^{19}$

B) $10 x^{3} y^{8}$

C) $500 x^{6} y^{19}$

D) $500 x^{5} y^{13}$

Quizplus · Accepted Answer

First, simplify each term separately: $\left(2 x^{3} y^{5}\right)^{2} = 4x^{6}y^{10}$ and $\left(5 y^{3}\right)^{3} = 125y^{9}$. Then, multiply these results together: $4x^{6}y^{10} \cdot 125y^{9} = 500x^{6}y^{19}$.

Simplify Write the Answer with Only Positive Exponents (2x3y5)2(5y3)3\left(2 x^{3} y^{5}\right)^{2}\left(5 y^{3}\right)^{3}(2x3y5)2(5y3)3

Simplify Write the Answer with Only Positive Exponents $\left(2 x^{3} y^{5}\right)^{2}\left(5 y^{3}\right)^{3}$