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Popular >

simplify 2sqrt(2)^4

Solution

simplify

2 2^{4}

Solution

8

Solution steps

2 (2)^{4}

Rewrite

4

as

2 \cdot 2

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

Apply exponent rule:

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

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

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

Apply exponent rule:

(2)^{2} = 2

= 2 \cdot 2^{2}

2^{2} = 4

= 2 \cdot 4

Multiply the numbers:

2 \cdot 4 = 8

= 8

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Frequently Asked Questions (FAQ)

What is 2sqrt(2)^4 ?
The solution to 2sqrt(2)^4 is 8