Basic Math Examples

$3 a^{- \frac{3}{2}} \cdot a^{\frac{3}{2}}$

Step 1

Multiply $a^{- \frac{3}{2}}$ by $a^{\frac{3}{2}}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $a^{\frac{3}{2}}$ .

$3 (a^{\frac{3}{2}} a^{- \frac{3}{2}})$

Step 1.2

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

$3 a^{\frac{3}{2} - \frac{3}{2}}$

Step 1.3

Combine the numerators over the common denominator.

$3 a^{\frac{3 - 3}{2}}$

Step 1.4

Subtract $3$ from $3$ .

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

Step 1.5

Divide $0$ by $2$ .

$3 a^{0}$

Step 2

Simplify $3 a^{0}$ .

$3$