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Popular >

simplify (5sqrt(5))^3

Solution

simplify

(55)^{3}

Solution

6255

+1

Decimal Notation

1397.54248 \dots

Solution steps

(55)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(55)^{3} = 5^{3} (5)^{3}

= 5^{3} (5)^{3}

5^{3} = 125

= 125 (5)^{3}

(5)^{3} = 55

= 125 \cdot 55

Multiply the numbers:

125 \cdot 5 = 625

= 6255

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Frequently Asked Questions (FAQ)

What is (5sqrt(5))^3 ?
The solution to (5sqrt(5))^3 is 625sqrt(5)