Precalculus Examples

$S (9) = 4000 (2^{- 0.6 (9)})$

Step 1

Simplify.

Tap for more steps...

Step 1.1

Multiply $- 0.6$ by $9$ .

$S (9) = 4000 \cdot 2^{- 5.4}$

Step 1.2

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

$S (9) = 4000 \cdot \frac{1}{2^{5.4}}$

Step 1.3

Raise $2$ to the power of $5.4$ .

$S (9) = 4000 \cdot \frac{1}{42.22425314}$

Step 1.4

Divide $1$ by $42.22425314$ .

$S (9) = 4000 \cdot 0.02368307$

Step 1.5

Multiply $4000$ by $0.02368307$ .

$S (9) = 94.7322854$

Step 2

Divide each term in $S (9) = 94.7322854$ by $9$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $S (9) = 94.7322854$ by $9$ .

$\frac{S (9)}{9} = \frac{94.7322854}{9}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{S \cdot 9}{9} = \frac{94.7322854}{9}$

Step 2.2.1.2

Divide $S$ by $1$ .

$S = \frac{94.7322854}{9}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Divide $94.7322854$ by $9$ .

$S = 10.52580948$