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Popular >

simplify pi(5pi)^2

Solution

simplify

π \cdot (5 \cdot π)^{2}

Solution

25 π^{3}

+1

Decimal Notation

775.15691 \dots

Solution steps

π (5 π)^{2}

Apply exponent rule:

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

(5 π)^{2} = 5^{2} π^{2}

= 5^{2} π^{2} π

Apply exponent rule:

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

π π^{2} = π^{1 + 2}

= 5^{2} π^{1 + 2}

Add the numbers:

1 + 2 = 3

= 5^{2} π^{3}

5^{2} = 25

= 25 π^{3}

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Frequently Asked Questions (FAQ)

What is pi*(5*pi)^2 ?
The solution to pi*(5*pi)^2 is 25pi^3