Calculus Examples

$2.4 {(5000)}^{- 0.2} + 0.08 (5000) - 3$

Step 1

Simplify each term.

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Step 1.1

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

$2.4 \frac{1}{5000^{0.2}} + 0.08 (5000) - 3$

Step 1.2

Raise $5000$ to the power of $0.2$ .

$2.4 (\frac{1}{5.49280271}) + 0.08 (5000) - 3$

Step 1.3

Divide $1$ by $5.49280271$ .

$2.4 \cdot 0.18205642 + 0.08 (5000) - 3$

Step 1.4

Multiply $2.4$ by $0.18205642$ .

$0.4369354 + 0.08 (5000) - 3$

Step 1.5

Multiply $0.08$ by $5000$ .

$0.4369354 + 400 - 3$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $0.4369354$ and $400$ .

$400.4369354 - 3$

Step 2.2

Subtract $3$ from $400.4369354$ .

$397.4369354$