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Popular >

simplify (2sqrt(5))^3

Solution

simplify

(25)^{3}

Solution

405

+1

Decimal Notation

89.44271 \dots

Solution steps

(25)^{3}

Apply exponent rule:

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

(25)^{3} = 2^{3} (5)^{3}

= 2^{3} (5)^{3}

2^{3} = 8

= 8 (5)^{3}

(5)^{3} = 55

= 8 \cdot 55

Multiply the numbers:

8 \cdot 5 = 40

= 405

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Frequently Asked Questions (FAQ)

What is (2sqrt(5))^3 ?
The solution to (2sqrt(5))^3 is 40sqrt(5)