Algebra Examples

${(\frac{y^{2}}{25})}^{\frac{1}{2}}$

Step 1

Apply the product rule to $\frac{y^{2}}{25}$ .

$\frac{{(y^{2})}^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Multiply the exponents in ${(y^{2})}^{\frac{1}{2}}$ .

Tap for more steps...

Step 2.1.1

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

$\frac{y^{2 (\frac{1}{2})}}{25^{\frac{1}{2}}}$

Step 2.1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.2.1

Cancel the common factor.

$\frac{y^{2 (\frac{1}{2})}}{25^{\frac{1}{2}}}$

Step 2.1.2.2

Rewrite the expression.

$\frac{y^{1}}{25^{\frac{1}{2}}}$

Step 2.2

Simplify.

$\frac{y}{25^{\frac{1}{2}}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Rewrite $25$ as $5^{2}$ .

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

Step 3.2

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

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

Step 3.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.3.1

Cancel the common factor.

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

Step 3.3.2

Rewrite the expression.

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

Step 3.4

Evaluate the exponent.

$\frac{y}{5}$