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Popular >

simplify (sqrt(15))^5

Solution

simplify

(15)^{5}

Solution

22515

+1

Decimal Notation

871.42125 \dots

Solution steps

(15)^{5}

Apply exponent rule:

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

(15)^{4 + 1} = (15)^{4} 15

= (15)^{4} 15

(15)^{4} = ((15)^{2})^{2}

= ((15)^{2})^{2} 15

Apply exponent rule:

(15)^{2} = 15

= 1 5^{2} 15

1 5^{2} = 225

= 22515

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Frequently Asked Questions (FAQ)

What is (sqrt(15))^5 ?
The solution to (sqrt(15))^5 is 225sqrt(15)