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Popular >

simplify (5p^2)^2*(2p^3)^3

Solution

simplify

(5 p^{2})^{2} \cdot (2 p^{3})^{3}

Solution

200 p^{13}

Solution steps

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

Simplify

(5 p^{2})^{2} : 25 p^{4}

= 25 p^{4} (2 p^{3})^{3}

Simplify

(2 p^{3})^{3} : 8 p^{9}

= 25 p^{4} \cdot 8 p^{9}

Multiply the numbers:

25 \cdot 8 = 200

= 200 p^{4} p^{9}

Apply exponent rule:

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

p^{4} p^{9} = p^{4 + 9}

= 200 p^{4 + 9}

Add the numbers:

4 + 9 = 13

= 200 p^{13}

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Frequently Asked Questions (FAQ)

What is (5p^2)^2*(2p^3)^3 ?
The solution to (5p^2)^2*(2p^3)^3 is 200p^{13}