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Popular >

simplify sqrt(7)^4

Solution

simplify

7^{4}

Solution

49

Solution steps

(7)^{4}

Rewrite

4

as

2 \cdot 2

= (7)^{2 \cdot 2}

Apply exponent rule:

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

(7)^{2 \cdot 2} = ((7)^{2})^{2}

= ((7)^{2})^{2}

Apply exponent rule:

(7)^{2} = 7

= 7^{2}

7^{2} = 49

= 49

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Frequently Asked Questions (FAQ)

What is sqrt(7)^4 ?
The solution to sqrt(7)^4 is 49