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Popular >

simplify (sqrt(5))^7

Solution

simplify

(5)^{7}

Solution

1255

+1

Decimal Notation

279.50849 \dots

Solution steps

(5)^{7}

Apply exponent rule:

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

(5)^{6 + 1} = (5)^{6} 5

= (5)^{6} 5

(5)^{6} = ((5)^{2})^{3}

= ((5)^{2})^{3} 5

Apply exponent rule:

(5)^{2} = 5

= 5^{3} 5

5^{3} = 125

= 1255

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Frequently Asked Questions (FAQ)

What is (sqrt(5))^7 ?
The solution to (sqrt(5))^7 is 125sqrt(5)