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Popular >

simplify sqrt(7)^6

Solution

simplify

7^{6}

Solution

343

Solution steps

(7)^{6}

Rewrite

6

as

2 \cdot 3

= (7)^{2 \cdot 3}

Apply exponent rule:

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

(7)^{2 \cdot 3} = ((7)^{2})^{3}

= ((7)^{2})^{3}

Apply exponent rule:

(7)^{2} = 7

= 7^{3}

7^{3} = 343

= 343

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Frequently Asked Questions (FAQ)

What is sqrt(7)^6 ?
The solution to sqrt(7)^6 is 343