Basic Math Examples

$72 \cdot {(\frac{8}{9})}^{2} \cdot {(\frac{1}{8})}^{3}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Apply the product rule to $\frac{8}{9}$ .

$72 \cdot \frac{8^{2}}{9^{2}} \cdot {(\frac{1}{8})}^{3}$

Step 1.2

Raise $8$ to the power of $2$ .

$72 \cdot \frac{64}{9^{2}} \cdot {(\frac{1}{8})}^{3}$

Step 1.3

Raise $9$ to the power of $2$ .

$72 \cdot \frac{64}{81} \cdot {(\frac{1}{8})}^{3}$

Step 2

Cancel the common factor of $9$ .

Tap for more steps...

Step 2.1

Factor $9$ out of $72$ .

$9 (8) \cdot \frac{64}{81} \cdot {(\frac{1}{8})}^{3}$

Step 2.2

Factor $9$ out of $81$ .

$9 \cdot 8 \cdot \frac{64}{9 \cdot 9} \cdot {(\frac{1}{8})}^{3}$

Step 2.3

Cancel the common factor.

$9 \cdot 8 \cdot \frac{64}{9 \cdot 9} \cdot {(\frac{1}{8})}^{3}$

Step 2.4

Rewrite the expression.

$8 \cdot \frac{64}{9} \cdot {(\frac{1}{8})}^{3}$

Step 3

Combine $8$ and $\frac{64}{9}$ .

$\frac{8 \cdot 64}{9} \cdot {(\frac{1}{8})}^{3}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Multiply $8$ by $64$ .

$\frac{512}{9} \cdot {(\frac{1}{8})}^{3}$

Step 4.2

Apply the product rule to $\frac{1}{8}$ .

$\frac{512}{9} \cdot \frac{1^{3}}{8^{3}}$

Step 5

Combine.

$\frac{512 \cdot 1^{3}}{9 \cdot 8^{3}}$

Step 6

Simplify the expression.

Tap for more steps...

Step 6.1

One to any power is one.

$\frac{512 \cdot 1}{9 \cdot 8^{3}}$

Step 6.2

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

$\frac{512 \cdot 1}{9 \cdot 512}$

Step 6.3

Multiply $512$ by $1$ .

$\frac{512}{9 \cdot 512}$

Step 6.4

Multiply $9$ by $512$ .

$\frac{512}{4608}$

Step 7

Cancel the common factor of $512$ and $4608$ .

Tap for more steps...

Step 7.1

Factor $512$ out of $512$ .

$\frac{512 (1)}{4608}$

Step 7.2

Cancel the common factors.

Tap for more steps...

Step 7.2.1

Factor $512$ out of $4608$ .

$\frac{512 \cdot 1}{512 \cdot 9}$

Step 7.2.2

Cancel the common factor.

$\frac{512 \cdot 1}{512 \cdot 9}$

Step 7.2.3

Rewrite the expression.

$\frac{1}{9}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$