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Popular >

simplify (sqrt(6))^7

Solution

simplify

(6)^{7}

Solution

2166

+1

Decimal Notation

529.08978 \dots

Solution steps

(6)^{7}

Apply exponent rule:

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

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

= (6)^{6} 6

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

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

Apply exponent rule:

(6)^{2} = 6

= 6^{3} 6

6^{3} = 216

= 2166

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Frequently Asked Questions (FAQ)

What is (sqrt(6))^7 ?
The solution to (sqrt(6))^7 is 216sqrt(6)