Algebra Examples

$x {(2 x^{- \frac{1}{4}})}^{4}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$x {(2 \frac{1}{x^{\frac{1}{4}}})}^{4}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine $2$ and $\frac{1}{x^{\frac{1}{4}}}$ .

$x {(\frac{2}{x^{\frac{1}{4}}})}^{4}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Apply the product rule to $\frac{2}{x^{\frac{1}{4}}}$ .

$x \frac{2^{4}}{{(x^{\frac{1}{4}})}^{4}}$

Step 2.2.2

Raise $2$ to the power of $4$ .

$x \frac{16}{{(x^{\frac{1}{4}})}^{4}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Multiply the exponents in ${(x^{\frac{1}{4}})}^{4}$ .

Tap for more steps...

Step 3.1.1

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

$x \frac{16}{x^{\frac{1}{4} \cdot 4}}$

Step 3.1.2

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1.2.1

Cancel the common factor.

$x \frac{16}{x^{\frac{1}{4} \cdot 4}}$

Step 3.1.2.2

Rewrite the expression.

$x \frac{16}{x^{1}}$

Step 3.2

Simplify.

$x \frac{16}{x}$

Step 4

Cancel the common factor of $x$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$x \frac{16}{x}$

Step 4.2

Rewrite the expression.

$16$