Simplify the expression. $\left( 15 x ^ { 6 } y ^ { 8 } \right) \left( \frac { 1 } { 5 } x ^ { 2 } y ^ { 2 } \right)$
A) $3 x ^ { 8 } y ^ { 10 }$
B) $3 x ^ { 16 } y ^ { 12 }$
C) $3 x ^ { 12 } y ^ { 16 }$
D) $75 x ^ { 8 } y ^ { 10 }$
E) $3 x ^ { 10 } y ^ { 8 }$

Question

Quizplus · Accepted Answer

To simplify the expression, multiply the coefficients and add the exponents of like bases: $15 \times \frac{1}{5} = 3$, $x^{6+2} = x^8$, and $y^{8+2} = y^{10}$, resulting in $3x^8y^{10}$.

Simplify the Expression (15x6y8)(15x2y2)\left( 15 x ^ { 6 } y ^ { 8 } \right) \left( \frac { 1 } { 5 } x ^ { 2 } y ^ { 2 } \right)(15x6y8)(51​x2y2)

Simplify the Expression $\left( 15 x ^ { 6 } y ^ { 8 } \right) \left( \frac { 1 } { 5 } x ^ { 2 } y ^ { 2 } \right)$