Basic Math Examples

$\frac{8^{r + 4}}{8^{r + 1}}$

Step 1

Cancel the common factor of $8^{r + 4}$ and $8^{r + 1}$ .

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Step 1.1

Factor $8^{r + 1}$ out of $8^{r + 4}$ .

$\frac{8^{r + 1} \cdot 8^{r + 4 - (r + 1)}}{8^{r + 1}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

$\frac{8^{r + 1} \cdot 8^{r + 4 - (r + 1)}}{8^{r + 1} \cdot 1}$

Step 1.2.2

Cancel the common factor.

$\frac{8^{r + 1} \cdot 8^{r + 4 - (r + 1)}}{8^{r + 1} \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{8^{r + 4 - (r + 1)}}{1}$

Step 1.2.4

Divide $8^{r + 4 - (r + 1)}$ by $1$ .

$8^{r + 4 - (r + 1)}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$8^{r + 4 - r - 1 \cdot 1}$

Step 2.2

Multiply $- 1$ by $1$ .

$8^{r + 4 - r - 1}$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $r + 4 - r - 1$ .

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Step 3.1.1

Subtract $r$ from $r$ .

$8^{0 + 4 - 1}$

Step 3.1.2

Add $0$ and $4$ .

$8^{4 - 1}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Subtract $1$ from $4$ .

$8^{3}$

Step 3.2.2

Raise $8$ to the power of $3$ .

$512$