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Popular >

simplify (a^4b^7)(a^2b^8)

Solution

simplify

(a^{4} b^{7}) (a^{2} b^{8})

Solution

a^{6} b^{15}

Solution steps

(a^{4} b^{7}) (a^{2} b^{8})

Apply exponent rule:

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

a^{4} a^{2} = a^{4 + 2}

= b^{7} a^{4 + 2} b^{8}

Add the numbers:

4 + 2 = 6

= b^{7} a^{6} b^{8}

Apply exponent rule:

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

b^{7} b^{8} = b^{7 + 8}

= a^{6} b^{7 + 8}

Add the numbers:

7 + 8 = 15

= a^{6} b^{15}

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Frequently Asked Questions (FAQ)

What is (a^4b^7)(a^2b^8) ?
The solution to (a^4b^7)(a^2b^8) is a^6b^{15}