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Popular >

simplify (11p^2q)(3pq^2)

Solution

simplify

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

Solution

33 p^{3} q^{3}

Solution steps

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

Apply exponent rule:

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

p^{2} p = p^{2 + 1}

= 11 q \cdot 3 p^{2 + 1} q^{2}

Add the numbers:

2 + 1 = 3

= 11 q \cdot 3 p^{3} q^{2}

Apply exponent rule:

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

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

= 11 \cdot 3 p^{3} q^{1 + 2}

Add the numbers:

1 + 2 = 3

= 11 \cdot 3 p^{3} q^{3}

Multiply the numbers:

11 \cdot 3 = 33

= 33 p^{3} q^{3}

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Frequently Asked Questions (FAQ)

What is (11p^2q)(3pq^2) ?
The solution to (11p^2q)(3pq^2) is 33p^3q^3