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Popular >

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

Solution

simplify

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

Solution

a^{7} b^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 4 = 7

= b a^{7} b^{3}

Apply exponent rule:

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

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

= a^{7} b^{1 + 3}

Add the numbers:

1 + 3 = 4

= a^{7} b^{4}

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Frequently Asked Questions (FAQ)

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