Choose the one alternative that best completes the statement or answers thequestion.
-$\left(x^{7} y^{9} z^{8}\right)^{4}\left(x^{5} y^{10} z^{12}\right)^{4}$
A) $x^{48} y^{76} z^{80}$
B) $x^{96} {y} ^{152}z^{ 160}$
C) $2 x^{48} 2 y^{76} 2 z ^{80}$
D) $x^{560}{y} ^{1440 }z^{ 1536}$

Question

Quizplus · Accepted Answer

To find the result, multiply the exponents inside the parentheses by the exponent outside, then add the exponents of like bases: $x^{(7*4+5*4)} y^{(9*4+10*4)} z^{(8*4+12*4)} = x^{28+20} y^{36+40} z^{32+48} = x^{48} y^{76} z^{80}$.

Choose the One Alternative That Best Completes the Statement or Answers