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Popular >

simplify (5x^2)^4

Solution

simplify

(5 x^{2})^{4}

Solution

625 x^{8}

Solution steps

(5 x^{2})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x^{2})^{4} = 5^{4} (x^{2})^{4}

= 5^{4} (x^{2})^{4}

5^{4} = 625

= 625 (x^{2})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{2})^{4} = x^{2 \cdot 4}

= 625 x^{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= 625 x^{8}

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Frequently Asked Questions (FAQ)

What is (5x^2)^4 ?
The solution to (5x^2)^4 is 625x^8