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Popular >

simplify (2/3 x^4)(12x)

Solution

simplify

(\frac{2}{3} x^{4}) (12 x)

Solution

8 x^{5}

Solution steps

(\frac{2}{3} x^{4}) (12 x)

Apply exponent rule:

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

x^{4} x = x^{4 + 1}

= \frac{2}{3} \cdot 12 x^{4 + 1}

Add the numbers:

4 + 1 = 5

= \frac{2}{3} \cdot 12 x^{5}

Multiply fractions:

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

= \frac{2 \cdot 12 x ^{5}}{3}

Multiply the numbers:

2 \cdot 12 = 24

= \frac{24 x ^{5}}{3}

Divide the numbers:

\frac{24}{3} = 8

= 8 x^{5}

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Frequently Asked Questions (FAQ)

What is (2/3 x^4)(12x) ?
The solution to (2/3 x^4)(12x) is 8x^5