Basic Math Examples

$2.4 {(3)}^{2} - 0.16 {(3)}^{- 0.6} + 22$

Step 1

Simplify each term.

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Step 1.1

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

$2.4 \cdot 9 - 0.16 {(3)}^{- 0.6} + 22$

Step 1.2

Multiply $2.4$ by $9$ .

$21.6 - 0.16 {(3)}^{- 0.6} + 22$

Step 1.3

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

$21.6 - 0.16 \frac{1}{3^{0.6}} + 22$

Step 1.4

Raise $3$ to the power of $0.6$ .

$21.6 - 0.16 (\frac{1}{1.93318204}) + 22$

Step 1.5

Divide $1$ by $1.93318204$ .

$21.6 - 0.16 \cdot 0.51728185 + 22$

Step 1.6

Multiply $- 0.16$ by $0.51728185$ .

$21.6 - 0.08276509 + 22$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $0.08276509$ from $21.6$ .

$21.5172349 + 22$

Step 2.2

Add $21.5172349$ and $22$ .

$43.5172349$