Simplify (x^6)/(x*x^-3)

$\frac{x^{6}}{x \cdot x^{- 3}}$

Step 1

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

Multiply $x$ by $x^{- 3}$ .

Raise $x$ to the power of $1$ .

$\frac{x^{6}}{x^{1} \cdot x^{- 3}}$

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

$\frac{x^{6}}{x^{1 - 3}}$

Subtract $3$ from $1$ .

$\frac{x^{6}}{x^{- 2}}$

Step 2

Move $x^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{6} x^{2}$

Step 3

Multiply $x^{6}$ by $x^{2}$ by adding the exponents.

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

$x^{6 + 2}$

Add $6$ and $2$ .

$x^{8}$