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Popular >

simplify (a^8b^3)(a^4b)

Solution

simplify

(a^{8} b^{3}) (a^{4} b)

Solution

a^{12} b^{4}

Solution steps

(a^{8} b^{3}) (a^{4} b)

Apply exponent rule:

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

a^{8} a^{4} = a^{8 + 4}

= b^{3} a^{8 + 4} b

Add the numbers:

8 + 4 = 12

= b^{3} a^{12} b

Apply exponent rule:

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

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

= a^{12} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= a^{12} b^{4}

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Frequently Asked Questions (FAQ)

What is (a^8b^3)(a^4b) ?
The solution to (a^8b^3)(a^4b) is a^{12}b^4