Algebra Examples

$\frac{{(a^{8} a^{6})}^{\frac{1}{7}}}{a^{2}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Multiply $a^{8}$ by $a^{6}$ by adding the exponents.

Tap for more steps...

Step 1.1.1

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

$\frac{{(a^{8 + 6})}^{\frac{1}{7}}}{a^{2}}$

Step 1.1.2

Add $8$ and $6$ .

$\frac{{(a^{14})}^{\frac{1}{7}}}{a^{2}}$

Step 1.2

Multiply the exponents in ${(a^{14})}^{\frac{1}{7}}$ .

Tap for more steps...

Step 1.2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{a^{14 (\frac{1}{7})}}{a^{2}}$

Step 1.2.2

Cancel the common factor of $7$ .

Tap for more steps...

Step 1.2.2.1

Factor $7$ out of $14$ .

$\frac{a^{7 (2) \frac{1}{7}}}{a^{2}}$

Step 1.2.2.2

Cancel the common factor.

$\frac{a^{7 \cdot 2 \frac{1}{7}}}{a^{2}}$

Step 1.2.2.3

Rewrite the expression.

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

Step 2

Cancel the common factor of $a^{2}$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$1$