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Popular >

simplify (a^3b^4)(a^5*b)

Solution

simplify

(a^{3} \cdot b^{4}) \cdot (a^{5} \cdot b)

Solution

a^{8} b^{5}

Solution steps

(a^{3} b^{4}) (a^{5} b)

Apply exponent rule:

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

a^{3} a^{5} = a^{3 + 5}

= b^{4} a^{3 + 5} b

Add the numbers:

3 + 5 = 8

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

Apply exponent rule:

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

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

= a^{8} b^{4 + 1}

Add the numbers:

4 + 1 = 5

= a^{8} b^{5}

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Frequently Asked Questions (FAQ)

What is (a^3*b^4)*(a^5*b) ?
The solution to (a^3*b^4)*(a^5*b) is a^8b^5