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Popular >

simplify sqrt(5)^5

Solution

simplify

5^{5}

Solution

255

+1

Decimal Notation

55.90169 \dots

Solution steps

(5)^{5}

Apply exponent rule:

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

(5)^{4 + 1} = (5)^{4} 5

= (5)^{4} 5

(5)^{4} = ((5)^{2})^{2}

= ((5)^{2})^{2} 5

Apply exponent rule:

(5)^{2} = 5

= 5^{2} 5

5^{2} = 25

= 255

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Frequently Asked Questions (FAQ)

What is sqrt(5)^5 ?
The solution to sqrt(5)^5 is 25sqrt(5)