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Popular >

simplify (3p^4q)(12p^3q^2)

Solution

simplify

(3 p^{4} q) (12 p^{3} q^{2})

Solution

36 p^{7} q^{3}

Solution steps

(3 p^{4} q) (12 p^{3} q^{2})

Apply exponent rule:

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

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

= 3 q \cdot 12 p^{4 + 3} q^{2}

Add the numbers:

4 + 3 = 7

= 3 q \cdot 12 p^{7} q^{2}

Apply exponent rule:

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

q q^{2} = q^{1 + 2}

= 3 \cdot 12 p^{7} q^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3 \cdot 12 p^{7} q^{3}

Multiply the numbers:

3 \cdot 12 = 36

= 36 p^{7} q^{3}

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Frequently Asked Questions (FAQ)

What is (3p^4q)(12p^3q^2) ?
The solution to (3p^4q)(12p^3q^2) is 36p^7q^3