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Popular >

simplify (sqrt(6))^5

Solution

simplify

(6)^{5}

Solution

366

+1

Decimal Notation

88.18163 \dots

Solution steps

(6)^{5}

Apply exponent rule:

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

(6)^{4 + 1} = (6)^{4} 6

= (6)^{4} 6

(6)^{4} = ((6)^{2})^{2}

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

Apply exponent rule:

(6)^{2} = 6

= 6^{2} 6

6^{2} = 36

= 366

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Frequently Asked Questions (FAQ)

What is (sqrt(6))^5 ?
The solution to (sqrt(6))^5 is 36sqrt(6)