Algebra Examples

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

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

Step 1

Move

5^{- 2}

$5^{- 2}$ to the numerator using the negative exponent rule

\frac{1}{b^{- n}} = b^{n}

$\frac{1}{b^{- n}} = b^{n}$ .

{(4^{3} \cdot 5^{2})}^{5}

${(4^{3} \cdot 5^{2})}^{5}$

Step 2

Raise

4

$4$ to the power of

3

$3$ .

{(64 \cdot 5^{2})}^{5}

${(64 \cdot 5^{2})}^{5}$

Step 3

Raise

5

$5$ to the power of

2

$2$ .

{(64 \cdot 25)}^{5}

${(64 \cdot 25)}^{5}$

Step 4

Multiply

64

$64$ by

25

$25$ .

1600^{5}

$1600^{5}$

Step 5

Raise

1600

$1600$ to the power of

5

$5$ .

10485760000000000

$10485760000000000$

Step 6

The result can be shown in multiple forms.

Exact Form:

10485760000000000

$10485760000000000$

Decimal Form:

1.048576 \cdot 10^{16}

$1.048576 \cdot 10^{16}$