Basic Math Examples

${((4^{- 3}) (5^{3}) (2^{6}) \div 25)}^{- 2}$

Step 1

Rewrite the division as a fraction.

${(\frac{(4^{- 3}) (5^{3}) (2^{6})}{25})}^{- 2}$

Step 2

Move $4^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{5^{3} \cdot 2^{6}}{25 \cdot 4^{3}})}^{- 2}$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Raise $5$ to the power of $3$ .

${(\frac{125 \cdot 2^{6}}{25 \cdot 4^{3}})}^{- 2}$

Step 3.2

Raise $2$ to the power of $6$ .

${(\frac{125 \cdot 64}{25 \cdot 4^{3}})}^{- 2}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Raise $4$ to the power of $3$ .

${(\frac{125 \cdot 64}{25 \cdot 64})}^{- 2}$

Step 4.2

Multiply $125$ by $64$ .

${(\frac{8000}{25 \cdot 64})}^{- 2}$

Step 4.3

Multiply $25$ by $64$ .

${(\frac{8000}{1600})}^{- 2}$

Step 4.4

Divide $8000$ by $1600$ .

$5^{- 2}$

Step 5

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{5^{2}}$

Step 6

Raise $5$ to the power of $2$ .

$\frac{1}{25}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{25}$

Decimal Form:

$0.04$