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Popular >

simplify (a^3b)(ab^6)

Solution

simplify

(a^{3} b) (a b^{6})

Solution

a^{4} b^{7}

Solution steps

(a^{3} b) (a b^{6})

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= b a^{3 + 1} b^{6}

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

b b^{6} = b^{1 + 6}

= a^{4} b^{1 + 6}

Add the numbers:

1 + 6 = 7

= a^{4} b^{7}

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Frequently Asked Questions (FAQ)

What is (a^3b)(ab^6) ?
The solution to (a^3b)(ab^6) is a^4b^7