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Popular >

simplify (2^n)^2

Solution

simplify

(2^{n})^{2}

Solution

4^{n}

Solution steps

(2^{n})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{n \cdot 2}

Apply exponent rule:

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

2^{2 n} = (2^{2})^{n}

= (2^{2})^{n}

2^{2} = 4

= 4^{n}

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Frequently Asked Questions (FAQ)

What is (2^n)^2 ?
The solution to (2^n)^2 is 4^n