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Popular >

simplify (sqrt(13))^5

Solution

simplify

(13)^{5}

Solution

16913

+1

Decimal Notation

609.33816 \dots

Solution steps

(13)^{5}

Apply exponent rule:

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

(13)^{4 + 1} = (13)^{4} 13

= (13)^{4} 13

(13)^{4} = ((13)^{2})^{2}

= ((13)^{2})^{2} 13

Apply exponent rule:

(13)^{2} = 13

= 1 3^{2} 13

1 3^{2} = 169

= 16913

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Frequently Asked Questions (FAQ)

What is (sqrt(13))^5 ?
The solution to (sqrt(13))^5 is 169sqrt(13)