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Popular >

simplify pi(4x)^2*(5x^3)

Solution

simplify

π (4 x)^{2} \cdot (5 x^{3})

Solution

80 π x^{5}

Solution steps

π (4 x)^{2} (5 x^{3})

Apply exponent rule:

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

(4 x)^{2} = 4^{2} x^{2}

= 4^{2} \cdot 5 π x^{3} x^{2}

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= π 4^{2} \cdot 5 x^{2 + 3}

Add the numbers:

2 + 3 = 5

= π 4^{2} \cdot 5 x^{5}

4^{2} = 16

= 16 \cdot 5 π x^{5}

Multiply the numbers:

16 \cdot 5 = 80

= 80 π x^{5}

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Frequently Asked Questions (FAQ)

What is pi(4x)^2*(5x^3) ?
The solution to pi(4x)^2*(5x^3) is 80pix^5