Calculus Examples

$h (x) = 5 x^{2} {(8 x + 7)}^{4}$ , $x = 3$

Step 1

Replace the variable $x$ with $3$ in the expression.

$h (3) = 5 {(3)}^{2} {(8 (3) + 7)}^{4}$

Step 2

Simplify the result.

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Step 2.1

Raise $3$ to the power of $2$ .

$h (3) = 5 \cdot (9 {(8 (3) + 7)}^{4})$

Step 2.2

Multiply $5$ by $9$ .

$h (3) = 45 {(8 (3) + 7)}^{4}$

Step 2.3

Multiply $8$ by $3$ .

$h (3) = 45 {(24 + 7)}^{4}$

Step 2.4

Add $24$ and $7$ .

$h (3) = 45 \cdot 31^{4}$

Step 2.5

Raise $31$ to the power of $4$ .

$h (3) = 45 \cdot 923521$

Step 2.6

Multiply $45$ by $923521$ .

$h (3) = 41558445$

Step 2.7

The final answer is $41558445$ .

$41558445$

Step 3