Simplify (3n^0)/(2n)

$\frac{3 n^{0}}{2 n}$

Step 1

Move $n^{0}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{3}{2 n \cdot n^{0}}$

Step 2

Simplify the denominator.

Multiply $n$ by $n^{0}$ by adding the exponents.

Move $n^{0}$ .

$\frac{3}{2 (n^{0} n)}$

Multiply $n^{0}$ by $n$ .

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

$\frac{3}{2 (n^{0} n^{1})}$

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

$\frac{3}{2 n^{0 + 1}}$

Add $0$ and $1$ .

$\frac{3}{2 n^{1}}$

Simplify $2 n^{1}$ .

$\frac{3}{2 n}$