Algebra Examples

$\frac{7.8 \cdot 10^{7}}{1 \cdot 10^{4}}$

Step 1

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

$(\frac{7.8}{1}) (\frac{10^{7}}{10^{4}})$

Step 2

Divide $7.8$ by $1$ .

$7.8 \frac{10^{7}}{10^{4}}$

Step 3

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

$7.8 \cdot 10^{7 + 4 \cdot - 1}$

Step 4

Multiply $4$ by $- 1$ .

$7.8 \cdot 10^{7 - 4}$

Step 5

Subtract $4$ from $7$ .

$7.8 \cdot 10^{3}$