Simplify the expression. $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$
A) $y ^ { 45 }$
B) $y ^ { 29 }$
C) $y ^ { 40 }$
D) $y ^ { 20 }$
E) $y ^ { 14 }$

Name: Simplify the expression. $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$ A) $y ^ { 45 }$ B) $y ^ { 29 }$ C) $y ^ { 40 }$ D) $y ^ { 20 }$ E) $y ^ { 14 }$
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Question

Simplify the expression.  $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$
A) $y ^ { 45 }$
B) $y ^ { 29 }$
C) $y ^ { 40 }$
D) $y ^ { 20 }$
E) $y ^ { 14 }$

Quizplus · Accepted Answer

When we raise a power to another power, we multiply the exponents. In this case, we have $(y^5y^5)^4 = y^{10 \cdot 4} = y^{40}$. Therefore, the answer is choice C.

Simplify the Expression (y5y5)4\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }(y5y5)4

Simplify the Expression $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$