Basic Math Examples

$100 {(\frac{1 t (0.04)}{20})}^{20 \cdot 1}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $t$ by $1$ .

$100 {(\frac{t \cdot 0.04}{20})}^{20 \cdot 1}$

Step 1.2

Move $0.04$ to the left of $t$ .

$100 {(\frac{0.04 \cdot t}{20})}^{20 \cdot 1}$

Step 2

Factor $0.04$ out of $0.04 \cdot t$ .

$100 {(\frac{0.04 (t)}{20})}^{20 \cdot 1}$

Step 3

Factor $20$ out of $20$ .

$100 {(\frac{0.04 (t)}{20 (1)})}^{20 \cdot 1}$

Step 4

Separate fractions.

$100 {(\frac{0.04}{20} \cdot \frac{t}{1})}^{20 \cdot 1}$

Step 5

Divide $0.04$ by $20$ .

$100 {(0.002 \frac{t}{1})}^{20 \cdot 1}$

Step 6

Cancel the common factor of $0.002$ .

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Step 6.1

Factor $0.002$ out of $1$ .

$100 {(0.002 \frac{t}{0.002 \cdot 500})}^{20 \cdot 1}$

Step 6.2

Cancel the common factor.

$100 {(0.002 \frac{t}{0.002 \cdot 500})}^{20 \cdot 1}$

Step 6.3

Rewrite the expression.

$100 {(\frac{t}{500})}^{20 \cdot 1}$

Step 7

Simplify the expression.

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Step 7.1

Multiply $20$ by $1$ .

$100 {(\frac{t}{500})}^{20}$

Step 7.2

Apply the product rule to $\frac{t}{500}$ .

$100 \frac{t^{20}}{500^{20}}$

Step 8

Combine $100$ and $\frac{t^{20}}{500^{20}}$ .

$\frac{100 t^{20}}{500^{20}}$