Precalculus Examples

$\frac{260}{\frac{\log (4.5 \cdot 10^{8})}{1.2 \cdot 10^{8}}} \cdot 3.3$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$260 \frac{1.2 \cdot 10^{8}}{\log (4.5 \cdot 10^{8})} \cdot 3.3$

Step 2

Multiply $260 \frac{1.2 \cdot 10^{8}}{\log (4.5 \cdot 10^{8})}$ .

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Step 2.1

Combine $260$ and $\frac{1.2 \cdot 10^{8}}{\log (4.5 \cdot 10^{8})}$ .

$\frac{260 \cdot 1.2 \cdot 10^{8}}{\log (4.5 \cdot 10^{8})} \cdot 3.3$

Step 2.2

Multiply $1.2$ by $260$ .

$\frac{312 \cdot 10^{8}}{\log (4.5 \cdot 10^{8})} \cdot 3.3$

Step 3

Move the decimal point in $312$ to the left by $2$ places and increase the power of $10^{8}$ by $2$ .

$\frac{3.12 \cdot 10^{10}}{\log (4.5 \cdot 10^{8})} \cdot 3.3$

Step 4

Multiply $\frac{3.12 \cdot 10^{10}}{\log (4.5 \cdot 10^{8})} \cdot 3.3$ .

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Step 4.1

Combine $\frac{3.12 \cdot 10^{10}}{\log (4.5 \cdot 10^{8})}$ and $3.3$ .

$\frac{3.12 \cdot 10^{10} \cdot 3.3}{\log (4.5 \cdot 10^{8})}$

Step 4.2

Multiply $3.3$ by $3.12$ .

$\frac{10.296 \cdot 10^{10}}{\log (4.5 \cdot 10^{8})}$

Step 5

Move the decimal point in $10.296$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$\frac{1.0296 \cdot 10^{11}}{\log (4.5 \cdot 10^{8})}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$\frac{1.0296 \cdot 10^{11}}{\log (4.5 \cdot 10^{8})}$

Expanded Form:

$11898471213.5631$