Finite Math Examples

$- 4 m^{3} n^{5} - 32 m^{3} n^{4}$

Step 1

Rewrite $- 4$ as $- 2^{2}$ .

$\frac{- 2^{2} m^{3} n^{5}}{1}$

Step 2

Move $2^{2}$ in $\frac{- 2^{2} m^{3} n^{5}}{1}$ to the denominator and change the exponent from positive to negative.

$\frac{- 1 m^{3} n^{5}}{2^{- 2}}$

Step 3

Move $m^{3}$ in $\frac{- 1 m^{3} n^{5}}{2^{- 2}}$ to the denominator and change the exponent from positive to negative.

$\frac{- 1 n^{5}}{2^{- 2} m^{- 3}}$

Step 4

Move $n^{5}$ in $\frac{- 1 n^{5}}{2^{- 2} m^{- 3}}$ to the denominator and change the exponent from positive to negative.

$\frac{- 1}{2^{- 2} m^{- 3} n^{- 5}}$

Step 5

Rewrite $- 32$ as $- 2^{5}$ .

$\frac{- 2^{5} m^{3} n^{4}}{1}$

Step 6

Move $2^{5}$ in $\frac{- 2^{5} m^{3} n^{4}}{1}$ to the denominator and change the exponent from positive to negative.

$\frac{- 1 m^{3} n^{4}}{2^{- 5}}$

Step 7

Move $m^{3}$ in $\frac{- 1 m^{3} n^{4}}{2^{- 5}}$ to the denominator and change the exponent from positive to negative.

$\frac{- 1 n^{4}}{2^{- 5} m^{- 3}}$

Step 8

Move $n^{4}$ in $\frac{- 1 n^{4}}{2^{- 5} m^{- 3}}$ to the denominator and change the exponent from positive to negative.

$\frac{- 1}{2^{- 5} m^{- 3} n^{- 4}}$

Step 9

Rewrite the expression with the negative exponents.

$\frac{- 1}{2^{- 2} m^{- 3} n^{- 5}} + \frac{- 1}{2^{- 5} m^{- 3} n^{- 4}}$