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Popular >

simplify (sqrt(7))^5

Solution

simplify

(7)^{5}

Solution

497

+1

Decimal Notation

129.64181 \dots

Solution steps

(7)^{5}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(7)^{4 + 1} = (7)^{4} 7

= (7)^{4} 7

(7)^{4} = ((7)^{2})^{2}

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

Apply exponent rule:

(7)^{2} = 7

= 7^{2} 7

7^{2} = 49

= 497

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Frequently Asked Questions (FAQ)

What is (sqrt(7))^5 ?
The solution to (sqrt(7))^5 is 49sqrt(7)