Basic Math Examples

$\frac{3^{\frac{3}{10}}}{3^{- \frac{3}{10}}}$

Step 1

Move $3^{- \frac{3}{10}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$3^{\frac{3}{10}} \cdot 3^{\frac{3}{10}}$

Step 2

Multiply $3^{\frac{3}{10}}$ by $3^{\frac{3}{10}}$ by adding the exponents.

Tap for more steps...

Step 2.1

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

$3^{\frac{3}{10} + \frac{3}{10}}$

Step 2.2

Combine the numerators over the common denominator.

$3^{\frac{3 + 3}{10}}$

Step 2.3

Add $3$ and $3$ .

$3^{\frac{6}{10}}$

Step 2.4

Cancel the common factor of $6$ and $10$ .

Tap for more steps...

Step 2.4.1

Factor $2$ out of $6$ .

$3^{\frac{2 (3)}{10}}$

Step 2.4.2

Cancel the common factors.

Tap for more steps...

Step 2.4.2.1

Factor $2$ out of $10$ .

$3^{\frac{2 \cdot 3}{2 \cdot 5}}$

Step 2.4.2.2

Cancel the common factor.

$3^{\frac{2 \cdot 3}{2 \cdot 5}}$

Step 2.4.2.3

Rewrite the expression.

$3^{\frac{3}{5}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3^{\frac{3}{5}}$

Decimal Form:

$1.93318204 \dots$