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Popular >

simplify (5a^2b^3)(3ab)

Solution

simplify

(5 a^{2} b^{3}) (3 ab)

Solution

15 a^{3} b^{4}

Solution steps

(5 a^{2} b^{3}) (3 ab)

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= 5 b^{3} \cdot 3 a^{2 + 1} b

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

= 5 \cdot 3 a^{3} b^{3 + 1}

Add the numbers:

3 + 1 = 4

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 a^{3} b^{4}

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Frequently Asked Questions (FAQ)

What is (5a^2b^3)(3ab) ?
The solution to (5a^2b^3)(3ab) is 15a^3b^4