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Popular >

simplify (8ab^3)(3/4 a^2b)

Solution

simplify

(8 a b^{3}) (\frac{3}{4} a^{2} b)

Solution

6 a^{3} b^{4}

Solution steps

(8 a b^{3}) (\frac{3}{4} a^{2} b)

Apply exponent rule:

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

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

= 8 b^{3} \frac{3}{4} a^{1 + 2} b

Add the numbers:

1 + 2 = 3

= 8 b^{3} \frac{3}{4} a^{3} b

Apply exponent rule:

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

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

= 8 \cdot \frac{3}{4} a^{3} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 8 \cdot \frac{3}{4} a^{3} b^{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 8 a ^{3} b ^{4}}{4}

Multiply the numbers:

3 \cdot 8 = 24

= \frac{24 a ^{3} b ^{4}}{4}

Divide the numbers:

\frac{24}{4} = 6

= 6 a^{3} b^{4}

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Frequently Asked Questions (FAQ)

What is (8ab^3)(3/4 a^2b) ?
The solution to (8ab^3)(3/4 a^2b) is 6a^3b^4