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Question

Simplify: (5x^4)^2
(1 point)
Responses

5x^6
5 x to the 6th power

25x^8
25 x to the 8th power

10x^8
10 x to the 8th power

25x^6
8 months ago

Answers

GPT-4o mini
To simplify \((5x^4)^2\), use the power of a product and the power of a power rules.

1. Apply the power of a product:
\((ab)^n = a^n b^n\)
So, \((5x^4)^2 = 5^2 (x^4)^2\).

2. Calculate \(5^2\) and \((x^4)^2\):
\[5^2 = 25\]
\[(x^4)^2 = x^{4 \cdot 2} = x^8\].

3. Combine the results:
\((5x^4)^2 = 25x^8\).

Therefore, the simplified expression is **25x^8**.
8 months ago

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