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Popular >

simplify (a^5b^6)(a^2b^2)

Solution

simplify

(a^{5} b^{6}) (a^{2} b^{2})

Solution

a^{7} b^{8}

Solution steps

(a^{5} b^{6}) (a^{2} b^{2})

Apply exponent rule:

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

a^{5} a^{2} = a^{5 + 2}

= b^{6} a^{5 + 2} b^{2}

Add the numbers:

5 + 2 = 7

= b^{6} a^{7} b^{2}

Apply exponent rule:

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

b^{6} b^{2} = b^{6 + 2}

= a^{7} b^{6 + 2}

Add the numbers:

6 + 2 = 8

= a^{7} b^{8}

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Frequently Asked Questions (FAQ)

What is (a^5b^6)(a^2b^2) ?
The solution to (a^5b^6)(a^2b^2) is a^7b^8