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Popular >

simplify (a^2b^4)(a^5b)

Solution

simplify

(a^{2} b^{4}) (a^{5} b)

Solution

a^{7} b^{5}

Solution steps

(a^{2} b^{4}) (a^{5} b)

Apply exponent rule:

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

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

= b^{4} a^{2 + 5} b

Add the numbers:

2 + 5 = 7

= b^{4} a^{7} b

Apply exponent rule:

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

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

= a^{7} b^{4 + 1}

Add the numbers:

4 + 1 = 5

= a^{7} b^{5}

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Frequently Asked Questions (FAQ)

What is (a^2b^4)(a^5b) ?
The solution to (a^2b^4)(a^5b) is a^7b^5