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Popular >

simplify (a^5b^2)(a^3b^{12})

Solution

simplify

(a^{5} b^{2}) (a^{3} b^{12})

Solution

a^{8} b^{14}

Solution steps

(a^{5} b^{2}) (a^{3} b^{12})

Apply exponent rule:

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

a^{5} a^{3} = a^{5 + 3}

= b^{2} a^{5 + 3} b^{12}

Add the numbers:

5 + 3 = 8

= b^{2} a^{8} b^{12}

Apply exponent rule:

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

b^{2} b^{12} = b^{2 + 12}

= a^{8} b^{2 + 12}

Add the numbers:

2 + 12 = 14

= a^{8} b^{14}

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Frequently Asked Questions (FAQ)

What is (a^5b^2)(a^3b^{12}) ?
The solution to (a^5b^2)(a^3b^{12}) is a^8b^{14}