Simplify 3^4n^-2t^5

$3^{4} n^{- 2} t^{5}$

Step 1

Raise $3$ to the power of $4$ .

$81 n^{- 2} t^{5}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$81 \frac{1}{n^{2}} t^{5}$

Step 3

Combine $81$ and $\frac{1}{n^{2}}$ .

$\frac{81}{n^{2}} t^{5}$

Step 4

Combine $\frac{81}{n^{2}}$ and $t^{5}$ .

$\frac{81 t^{5}}{n^{2}}$