Simplify (3m^-4)/(m^3)

$\frac{3 m^{- 4}}{m^{3}}$

Step 1

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

$\frac{3}{m^{3} m^{4}}$

Step 2

Multiply $m^{3}$ by $m^{4}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3}{m^{3 + 4}}$

Add $3$ and $4$ .

$\frac{3}{m^{7}}$