Simplify (24x^3)/(50x)*30/(8x^2)

$\frac{24 x^{3}}{50 x} \cdot \frac{30}{8 x^{2}}$

Step 1

Combine.

$\frac{24 x^{3} \cdot 30}{50 x (8 x^{2})}$

Step 2

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{24 x^{3} \cdot 30}{50 (x^{2} x) \cdot 8}$

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$\frac{24 x^{3} \cdot 30}{50 (x^{2} x^{1}) \cdot 8}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{24 x^{3} \cdot 30}{50 x^{2 + 1} \cdot 8}$

Add $2$ and $1$ .

$\frac{24 x^{3} \cdot 30}{50 x^{3} \cdot 8}$

Step 3

Cancel the common factor of $24$ and $50$ .

Factor $2$ out of $24 x^{3} \cdot 30$ .

$\frac{2 (12 x^{3} \cdot 30)}{50 x^{3} \cdot 8}$

Cancel the common factors.

Factor $2$ out of $50 x^{3} \cdot 8$ .

$\frac{2 (12 x^{3} \cdot 30)}{2 (25 x^{3} \cdot 8)}$

Cancel the common factor.

$\frac{2 (12 x^{3} \cdot 30)}{2 (25 x^{3} \cdot 8)}$

Rewrite the expression.

$\frac{12 x^{3} \cdot 30}{25 x^{3} \cdot 8}$

Step 4

Cancel the common factor of $12$ and $8$ .

Factor $4$ out of $12 x^{3} \cdot 30$ .

$\frac{4 (3 x^{3} \cdot 30)}{25 x^{3} \cdot 8}$

Cancel the common factors.

Factor $4$ out of $25 x^{3} \cdot 8$ .

$\frac{4 (3 x^{3} \cdot 30)}{4 (25 x^{3} \cdot 2)}$

Cancel the common factor.

$\frac{4 (3 x^{3} \cdot 30)}{4 (25 x^{3} \cdot 2)}$

Rewrite the expression.

$\frac{3 x^{3} \cdot 30}{25 x^{3} \cdot 2}$

Step 5

Cancel the common factor of $x^{3}$ .

Cancel the common factor.

$\frac{3 x^{3} \cdot 30}{25 x^{3} \cdot 2}$

Rewrite the expression.

$\frac{3 \cdot 30}{25 \cdot 2}$

Step 6

Cancel the common factor of $30$ and $25$ .

Factor $5$ out of $3 \cdot 30$ .

$\frac{5 (3 \cdot 6)}{25 \cdot 2}$

Cancel the common factors.

Factor $5$ out of $25 \cdot 2$ .

$\frac{5 (3 \cdot 6)}{5 (5 \cdot 2)}$

Cancel the common factor.

$\frac{5 (3 \cdot 6)}{5 (5 \cdot 2)}$

Rewrite the expression.

$\frac{3 \cdot 6}{5 \cdot 2}$

Step 7

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $3 \cdot 6$ .

$\frac{2 (3 \cdot 3)}{5 \cdot 2}$

Cancel the common factors.

Factor $2$ out of $5 \cdot 2$ .

$\frac{2 (3 \cdot 3)}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 (3 \cdot 3)}{2 \cdot 5}$

Rewrite the expression.

$\frac{3 \cdot 3}{5}$

Step 8

Multiply $3$ by $3$ .

$\frac{9}{5}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{5}$

Decimal Form:

$1.8$

Mixed Number Form:

$1 \frac{4}{5}$

Simplify (24x^3)/(50x)*30/(8x^2)

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