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Popular >

simplify (p^4q^2)(p^7q^5)

Solution

simplify

(p^{4} q^{2}) (p^{7} q^{5})

Solution

p^{11} q^{7}

Solution steps

(p^{4} q^{2}) (p^{7} q^{5})

Apply exponent rule:

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

p^{4} p^{7} = p^{4 + 7}

= q^{2} p^{4 + 7} q^{5}

Add the numbers:

4 + 7 = 11

= q^{2} p^{11} q^{5}

Apply exponent rule:

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

q^{2} q^{5} = q^{2 + 5}

= p^{11} q^{2 + 5}

Add the numbers:

2 + 5 = 7

= p^{11} q^{7}

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Frequently Asked Questions (FAQ)

What is (p^4q^2)(p^7q^5) ?
The solution to (p^4q^2)(p^7q^5) is p^{11}q^7