Algebra Examples

${(\frac{1}{32})}^{\frac{1}{5}}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Apply the product rule to

$\frac{1}{32}$ .

$\frac{1^{\frac{1}{5}}}{32^{\frac{1}{5}}}$

Step 1.2

One to any power is one.

$\frac{1}{32^{\frac{1}{5}}}$

$\frac{1}{32^{\frac{1}{5}}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Rewrite

$32$ as

$2^{5}$ .

$\frac{1}{{(2^{5})}^{\frac{1}{5}}}$

Step 2.2

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{2^{5 (\frac{1}{5})}}$

Step 2.3

Cancel the common factor of

$5$ .

Tap for more steps...

Step 2.3.1

Cancel the common factor.

$\frac{1}{2^{5 (\frac{1}{5})}}$

Step 2.3.2

Rewrite the expression.

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

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

Step 2.4

Evaluate the exponent.

$\frac{1}{2}$

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$