Calculus Examples

$f (26) = {(x + 1)}^{\frac{1}{3}}$

Step 1

Replace the variable $x$ with $26$ in the expression.

$f (26) = {((26) + 1)}^{\frac{1}{3}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the expression.

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Step 2.1.1

Add $26$ and $1$ .

$f (26) = 27^{\frac{1}{3}}$

Step 2.1.2

Rewrite $27$ as $3^{3}$ .

$f (26) = {(3^{3})}^{\frac{1}{3}}$

Step 2.1.3

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

$f (26) = 3^{3 (\frac{1}{3})}$

Step 2.2

Cancel the common factor of $3$ .

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Step 2.2.1

Cancel the common factor.

$f (26) = 3^{3 (\frac{1}{3})}$

Step 2.2.2

Rewrite the expression.

$f (26) = 3$

Step 2.3

The final answer is $3$ .

$3$

Step 3