Evaluate ((3^9)/(3^-5))

$(\frac{3^{9}}{3^{- 5}})$

Step 1

Move $3^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$3^{9} \cdot 3^{5}$

Step 2

Multiply $3^{9}$ by $3^{5}$ by adding the exponents.

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

$3^{9 + 5}$

Add $9$ and $5$ .

$3^{14}$

Step 3

Raise $3$ to the power of $14$ .

$4782969$