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Popular >

simplify (4a^2)^2

Solution

simplify

(4 a^{2})^{2}

Solution

16 a^{4}

Solution steps

(4 a^{2})^{2}

Apply exponent rule:

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

(4 a^{2})^{2} = 4^{2} (a^{2})^{2}

= 4^{2} (a^{2})^{2}

4^{2} = 16

= 16 (a^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(a^{2})^{2} = a^{2 \cdot 2}

= 16 a^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 16 a^{4}

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Frequently Asked Questions (FAQ)

What is (4a^2)^2 ?
The solution to (4a^2)^2 is 16a^4