Basic Math Examples

$A = \frac{200 {(\frac{0.09}{4})}^{4 \cdot 20}}{\frac{0.09}{4}}$

Step 1

Cancel the common factor of ${(\frac{0.09}{4})}^{4 \cdot 20}$ and $\frac{0.09}{4}$ .

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Step 1.1

Factor $\frac{0.09}{4}$ out of $200 {(\frac{0.09}{4})}^{4 \cdot 20}$ .

$A = \frac{\frac{0.09}{4} (200 {(\frac{0.09}{4})}^{4 \cdot 20 - 1})}{\frac{0.09}{4}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $\frac{0.09}{4}$ out of $\frac{0.09}{4}$ .

$A = \frac{\frac{0.09}{4} (200 {(\frac{0.09}{4})}^{4 \cdot 20 - 1})}{\frac{0.09}{4} \cdot 1}$

Step 1.2.2

Cancel the common factor.

$A = \frac{\frac{0.09}{4} (200 {(\frac{0.09}{4})}^{4 \cdot 20 - 1})}{\frac{0.09}{4} \cdot 1}$

Step 1.2.3

Rewrite the expression.

$A = \frac{200 {(\frac{0.09}{4})}^{4 \cdot 20 - 1}}{1}$

Step 1.2.4

Divide $200 {(\frac{0.09}{4})}^{4 \cdot 20 - 1}$ by $1$ .

$A = 200 {(\frac{0.09}{4})}^{4 \cdot 20 - 1}$

Step 2

Simplify the expression.

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Step 2.1

Divide $0.09$ by $4$ .

$A = 200 \cdot {0.0225}^{4 \cdot 20 - 1}$

Step 2.2

Multiply $4$ by $20$ .

$A = 200 \cdot {0.0225}^{80 - 1}$

Step 2.3

Subtract $1$ from $80$ .

$A = 200 \cdot {0.0225}^{79}$

Step 2.4

Raise $0.0225$ to the power of $79$ .

$A = 200 \cdot 0$

Step 2.5

Multiply $200$ by $0$ .

$A = 0$