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Popular >

simplify (2sqrt(2))^4

Solution

simplify

(22)^{4}

Solution

64

Solution steps

(22)^{4}

Apply exponent rule:

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

(22)^{4} = 2^{4} (2)^{4}

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

2^{4} = 16

= 16 (2)^{4}

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

= 2^{2} \cdot 16

2^{2} = 4

= 16 \cdot 4

Multiply the numbers:

16 \cdot 4 = 64

= 64

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Frequently Asked Questions (FAQ)

What is (2sqrt(2))^4 ?
The solution to (2sqrt(2))^4 is 64