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Popular >

simplify sqrt(11)^5

Solution

simplify

11^{5}

Solution

12111

+1

Decimal Notation

401.31159 \dots

Solution steps

(11)^{5}

Apply exponent rule:

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

(11)^{4 + 1} = (11)^{4} 11

= (11)^{4} 11

(11)^{4} = ((11)^{2})^{2}

= ((11)^{2})^{2} 11

Apply exponent rule:

(11)^{2} = 11

= 1 1^{2} 11

1 1^{2} = 121

= 12111

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Frequently Asked Questions (FAQ)

What is sqrt(11)^5 ?
The solution to sqrt(11)^5 is 121sqrt(11)