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Popular >

simplify 2x^2(8/3 x^3)

Solution

simplify

2 x^{2} (\frac{8}{3} x^{3})

Solution

\frac{16 x ^{5}}{3}

Solution steps

2 x^{2} (\frac{8}{3} x^{3})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= 2 \cdot \frac{8}{3} x^{2 + 3}

Add the numbers:

2 + 3 = 5

= 2 \cdot \frac{8}{3} x^{5}

Multiply fractions:

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

= \frac{8 \cdot 2 x ^{5}}{3}

Multiply the numbers:

8 \cdot 2 = 16

= \frac{16 x ^{5}}{3}

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Frequently Asked Questions (FAQ)

What is 2x^2(8/3 x^3) ?
The solution to 2x^2(8/3 x^3) is (16x^5)/3