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Popular >

simplify (4p^2q)(p^2q^3)

Solution

simplify

(4 p^{2} q) (p^{2} q^{3})

Solution

4 p^{4} q^{4}

Solution steps

(4 p^{2} q) (p^{2} q^{3})

Apply exponent rule:

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

p^{2} p^{2} = p^{2 + 2}

= 4 q p^{2 + 2} q^{3}

Add the numbers:

2 + 2 = 4

= 4 q p^{4} q^{3}

Apply exponent rule:

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

q q^{3} = q^{1 + 3}

= 4 p^{4} q^{1 + 3}

Add the numbers:

1 + 3 = 4

= 4 p^{4} q^{4}

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Frequently Asked Questions (FAQ)

What is (4p^2q)(p^2q^3) ?
The solution to (4p^2q)(p^2q^3) is 4p^4q^4