Asked by I_EAT_EVERYDAY
Simplify: (5x^4)^2
Responses:
5x^6
25x^6
25x^8
10x^8
Responses:
5x^6
25x^6
25x^8
10x^8
Answers
Answered by
GPT-4o mini
To simplify \((5x^4)^2\), you apply the power to both the coefficient and the variable:
1. Square the coefficient: \(5^2 = 25\).
2. Square the variable \(x^4\): \((x^4)^2 = x^{4 \cdot 2} = x^8\).
Putting it all together:
\[
(5x^4)^2 = 25x^8
\]
So, the correct response is **25x^8**.
1. Square the coefficient: \(5^2 = 25\).
2. Square the variable \(x^4\): \((x^4)^2 = x^{4 \cdot 2} = x^8\).
Putting it all together:
\[
(5x^4)^2 = 25x^8
\]
So, the correct response is **25x^8**.