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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} \cdot 5

= 5^{4} \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

5^{4} \cdot 5 = 5^{4} 5

= 5^{4} 5

5^{4} = 25

= 255

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Frequently Asked Questions (FAQ)

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