Find the missing factor or exponent(s).
-$$\frac { x ^ { 14 } y ^ { ? } } { x ^ { ? } y ^ { 20 } } = x ^ { 7 } y ^ { 12 }$$
A) 14,7
B) 20,14
C) 7,32
D) 7,20

Question

Quizplus · Accepted Answer

To solve for the missing exponents, we use the properties of exponents. For the x terms, we have $x^{14} / x^{?} = x^{7}$, which implies that the missing exponent for x is 7, because $x^{14} / x^{7} = x^{14-7} = x^{7}$. For the y terms, we have $y^{?} / y^{20} = y^{12}$, which means $y^{?} = y^{32}$ because $y^{32} / y^{20} = y^{32-20} = y^{12}$. Therefore, the missing exponents are 7 for x and 32 for y.

Find the Missing Factor or Exponent(s) x14y?x?y20=x7y12\frac { x ^ { 14 } y ^ { ? } } { x ^ { ? } y ^ { 20 } } = x ^ { 7 } y ^ { 12 }x?y20x14y?​=x7y12

Find the Missing Factor or Exponent(s) $\frac { x ^ { 14 } y ^ { ? } } { x ^ { ? } y ^ { 20 } } = x ^ { 7 } y ^ { 12 }$