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Popular >

simplify (a^6b^6)(a^4b^6)

Solution

simplify

(a^{6} b^{6}) (a^{4} b^{6})

Solution

a^{10} b^{12}

Solution steps

(a^{6} b^{6}) (a^{4} b^{6})

Apply exponent rule:

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

a^{6} a^{4} = a^{6 + 4}

= b^{6} a^{6 + 4} b^{6}

Add the numbers:

6 + 4 = 10

= b^{6} a^{10} b^{6}

Apply exponent rule:

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

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

= a^{10} b^{6 + 6}

Add the numbers:

6 + 6 = 12

= a^{10} b^{12}

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Frequently Asked Questions (FAQ)

What is (a^6b^6)(a^4b^6) ?
The solution to (a^6b^6)(a^4b^6) is a^{10}b^{12}