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Popular >

simplify (a^2b)(a^{13}b^{17})

Solution

simplify

(a^{2} b) (a^{13} b^{17})

Solution

a^{15} b^{18}

Solution steps

(a^{2} b) (a^{13} b^{17})

Apply exponent rule:

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

a^{2} a^{13} = a^{2 + 13}

= b a^{2 + 13} b^{17}

Add the numbers:

2 + 13 = 15

= b a^{15} b^{17}

Apply exponent rule:

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

b b^{17} = b^{1 + 17}

= a^{15} b^{1 + 17}

Add the numbers:

1 + 17 = 18

= a^{15} b^{18}

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Frequently Asked Questions (FAQ)

What is (a^2b)(a^{13}b^{17}) ?
The solution to (a^2b)(a^{13}b^{17}) is a^{15}b^{18}