Find the missing factor or exponent(s).
-$\left(x^{7}\right)^{?} \cdot\left(x^{9}\right)^{3}=x^{62}$
A) 35
B) 5
C) 21
D) 7

Name: Find the missing factor or exponent(s). -$\left(x^{7}\right)^{?} \cdot\left(x^{9}\right)^{3}=x^{62}$ A) 35 B) 5 C) 21 D) 7
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Question

Quizplus · Accepted Answer

Using the rule of exponents, $(x^a)^b = x^{ab}$, the equation becomes $x^{7 \cdot ?} \cdot x^{9 \cdot 3} = x^{62}$. Simplifying, we get $x^{7?} \cdot x^{27} = x^{62}$. Combining like terms, $7? + 27 = 62$. Solving for ?, $7? = 35$, so ? = 5.

Find the Missing Factor or Exponent(s) (x7)?⋅(x9)3=x62\left(x^{7}\right)^{?} \cdot\left(x^{9}\right)^{3}=x^{62}(x7)?⋅(x9)3=x62 A) 35 B) 5 C) 21 D) 7

Find the Missing Factor or Exponent(s) $\left(x^{7}\right)^{?} \cdot\left(x^{9}\right)^{3}=x^{62}$ A) 35
B) 5
C) 21
D) 7