Calculus Examples

$f (5) = 5 x^{3}$

Step 1

Replace the variable $x$ with $5$ in the expression.

$f (5) = 5 {(5)}^{3}$

Step 2

Simplify the result.

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Step 2.1

Multiply $5$ by ${(5)}^{3}$ by adding the exponents.

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Step 2.1.1

Multiply $5$ by ${(5)}^{3}$ .

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Step 2.1.1.1

Raise $5$ to the power of $1$ .

$f (5) = 5 {(5)}^{3}$

Step 2.1.1.2

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

$f (5) = 5^{1 + 3}$

Step 2.1.2

Add $1$ and $3$ .

$f (5) = 5^{4}$

Step 2.2

Raise $5$ to the power of $4$ .

$f (5) = 625$

Step 2.3

The final answer is $625$ .

$625$

Step 3