Pre-Algebra Examples

$\frac{6.33 \cdot 10^{9}}{1.79 \cdot 10^{5}} = 3 \cdot 10^{m}$

Step 1

Divide using scientific notation.

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Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{6.33}{1.79}) (\frac{10^{9}}{10^{5}}) = 3 \cdot 10^{m}$

Step 1.2

Divide $6.33$ by $1.79$ .

$3.53631284 \frac{10^{9}}{10^{5}} = 3 \cdot 10^{m}$

Step 1.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$3.53631284 \cdot 10^{9 + 5 \cdot - 1} = 3 \cdot 10^{m}$

Step 1.4

Multiply $5$ by $- 1$ .

$3.53631284 \cdot 10^{9 - 5} = 3 \cdot 10^{m}$

Step 1.5

Subtract $5$ from $9$ .

$3.53631284 \cdot 10^{4} = 3 \cdot 10^{m}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$m \approx 4.07142942$

Step 3