Simplify the expression. Write the answer without using parentheses or negative exponents.

\[
\frac{(x^4 y^2)^5}{(x^2 y)^2}
\]

( x 2 y ) 2 ( x 4 y 2 ) 5 ​ = x 2 ∗ 2 y 2 x 4 ∗ 5 y 2 ∗ 5 ​ = x 4 y 2 x 20 y 10 ​ = x 20 − 4 ∗ y 10 − 2 = x 16 ∗ y 8

Answered by Lilith | 2024-06-10

The expression ( x 2 y ) 2 ( x 4 y 2 ) 5 ​ simplifies to x 16 y 8 by first applying the power rule to the terms in parentheses, then dividing by subtracting the exponents. The final result does not include parentheses or negative exponents. Thus, the answer is x 16 y 8 .
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Answered by Lilith | 2024-12-20