What is (4sqrt(x^3))(x 3/2) ?

The solution to (4sqrt(x^3))(x 3/2) is 6x^2sqrt(x)

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

simplify

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

6 x^{2} x

Solution steps

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

Simplify

x^{3} : x x

= 4 x x x \frac{3}{2}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 4 x^{2} x \frac{3}{2}

= \frac{3}{2} \cdot 4 x^{2} x

Apply the fraction rule:

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

= \frac{3 \cdot 4 x ^{2} x}{2}

Divide the numbers:

\frac{4}{2} = 2

= 3 \cdot 2 x^{2} x

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{2} x

(4 3 - 1) (3 - 6)

6.5 \times 1 0^{- 3}

8^{7}

a^{- 3}

m^{4} \cdot n^{4}

What is (4sqrt(x^3))(x 3/2) ?
The solution to (4sqrt(x^3))(x 3/2) is 6x^2sqrt(x)