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Popular >

simplify (3a^2b)(3a^3b^4)

Solution

simplify

(3 a^{2} b) (3 a^{3} b^{4})

Solution

9 a^{5} b^{5}

Solution steps

(3 a^{2} b) (3 a^{3} b^{4})

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= a^{2} b \cdot 3^{1 + 1} a^{3} b^{4}

Add the numbers:

1 + 1 = 2

= a^{2} b \cdot 3^{2} a^{3} b^{4}

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= b \cdot 3^{2} a^{2 + 3} b^{4}

Add the numbers:

2 + 3 = 5

= b \cdot 3^{2} a^{5} b^{4}

Apply exponent rule:

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

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

= 3^{2} a^{5} b^{1 + 4}

Add the numbers:

1 + 4 = 5

= 3^{2} a^{5} b^{5}

3^{2} = 9

= 9 a^{5} b^{5}

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Frequently Asked Questions (FAQ)

What is (3a^2b)(3a^3b^4) ?
The solution to (3a^2b)(3a^3b^4) is 9a^5b^5