Basic Math Examples

$d = 50 (\frac{6000}{100^{3}}) \cdot 1^{\frac{1}{5}}$

Step 1

Multiply $50$ by $\frac{6000}{100^{3}}$ .

$d = 50 (\frac{6000}{100^{3}}) \cdot 1^{\frac{1}{5}}$

Step 2

Simplify $50 (\frac{6000}{100^{3}}) \cdot 1^{\frac{1}{5}}$ .

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Step 2.1

Raise $100$ to the power of $3$ .

$d = 50 (\frac{6000}{1000000}) \cdot 1^{\frac{1}{5}}$

Step 2.2

Cancel the common factor of $50$ .

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Step 2.2.1

Factor $50$ out of $1000000$ .

$d = 50 \frac{6000}{50 (20000)} \cdot 1^{\frac{1}{5}}$

Step 2.2.2

Cancel the common factor.

$d = 50 \frac{6000}{50 \cdot 20000} \cdot 1^{\frac{1}{5}}$

Step 2.2.3

Rewrite the expression.

$d = \frac{6000}{20000} \cdot 1^{\frac{1}{5}}$

Step 2.3

Cancel the common factor of $6000$ and $20000$ .

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Step 2.3.1

Factor $2000$ out of $6000$ .

$d = \frac{2000 (3)}{20000} \cdot 1^{\frac{1}{5}}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2000$ out of $20000$ .

$d = \frac{2000 \cdot 3}{2000 \cdot 10} \cdot 1^{\frac{1}{5}}$

Step 2.3.2.2

Cancel the common factor.

$d = \frac{2000 \cdot 3}{2000 \cdot 10} \cdot 1^{\frac{1}{5}}$

Step 2.3.2.3

Rewrite the expression.

$d = \frac{3}{10} \cdot 1^{\frac{1}{5}}$

Step 2.4

Simplify the expression.

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Step 2.4.1

One to any power is one.

$d = \frac{3}{10} \cdot 1$

Step 2.4.2

Multiply $\frac{3}{10}$ by $1$ .

$d = \frac{3}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = \frac{3}{10}$

Decimal Form:

$d = 0.3$