Simplify (5x^4)/(5x^-3)

$\frac{5 x^{4}}{5 x^{- 3}}$

Step 1

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

$\frac{5 x^{4} x^{3}}{5}$

Step 2

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

Move $x^{3}$ .

$\frac{5 (x^{3} x^{4})}{5}$

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

$\frac{5 x^{3 + 4}}{5}$

Add $3$ and $4$ .

$\frac{5 x^{7}}{5}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x^{7}}{5}$

Divide $x^{7}$ by $1$ .

$x^{7}$