Find the missing factor or exponent(s).
-$$\left( \frac { x ^ { 15 } y ^ { 10 } } { z ^ { 8 } } \right) ^ { ? } = \frac { x ^ { 135 } y ^ { 90 } } { z ^ { 72 } }$$
A) 8
B) 10
C) 15
D) 9

Question

Quizplus · Accepted Answer

To find the missing exponent, we compare the exponents on both sides of the equation. For $x$, $15 \times ? = 135$, which gives $?$ as $9$. Similarly, for $y$, $10 \times ? = 90$, which also gives $?$ as $9$. And for $z$, $8 \times ? = 72$, which again confirms $?$ as $9$. Therefore, the missing exponent is $9$.

Find the Missing Factor or Exponent(s) (x15y10z8)?=x135y90z72\left( \frac { x ^ { 15 } y ^ { 10 } } { z ^ { 8 } } \right) ^ { ? } = \frac { x ^ { 135 } y ^ { 90 } } { z ^ { 72 } }(z8x15y10​)?=z72x135y90​

Find the Missing Factor or Exponent(s) $\left( \frac { x ^ { 15 } y ^ { 10 } } { z ^ { 8 } } \right) ^ { ? } = \frac { x ^ { 135 } y ^ { 90 } } { z ^ { 72 } }$