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Popular >

simplify ((2pi)^2)^2

Solution

simplify

((2 π)^{2})^{2}

Solution

16 π^{4}

+1

Solution steps

((2 π)^{2})^{2}

Apply exponent rule:

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

= (2 π)^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= (2 π)^{4}

Apply exponent rule:

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

= 2^{4} π^{4}

2^{4} = 16

= 16 π^{4}

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Frequently Asked Questions (FAQ)

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