Simplify (8r^3)/(2t^-5)

$\frac{8 r^{3}}{2 t^{- 5}}$

Step 1

Move $t^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{8 r^{3} t^{5}}{2}$

Step 2

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 r^{3} t^{5}$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (4 r^{3} t^{5})}{2 (1)}$

Cancel the common factor.

$\frac{2 (4 r^{3} t^{5})}{2 \cdot 1}$

Rewrite the expression.

$\frac{4 r^{3} t^{5}}{1}$

Divide $4 r^{3} t^{5}$ by $1$ .

$4 r^{3} t^{5}$