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Popular Algebra >

simplify 2pir*2pir^2

Solution

simplify

2 π r \cdot 2 π r^{2}

Solution

4 π^{2} r^{3}

Solution steps

2 π r \cdot 2 π r^{2}

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= π r \cdot 2^{1 + 1} π r^{2}

Add the numbers:

1 + 1 = 2

= π r \cdot 2^{2} π r^{2}

Apply exponent rule:

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

r r^{2} = r^{1 + 2}

= π 2^{2} π r^{1 + 2}

Add the numbers:

1 + 2 = 3

= π 2^{2} π r^{3}

Apply exponent rule:

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

ππ = π^{1 + 1}

= 2^{2} π^{1 + 1} r^{3}

Add the numbers:

1 + 1 = 2

= 2^{2} π^{2} r^{3}

2^{2} = 4

= 4 π^{2} r^{3}

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Frequently Asked Questions (FAQ)

What is 2pir*2pir^2 ?
The solution to 2pir*2pir^2 is 4pi^2r^3

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