Pre-Algebra Examples

$\frac{5.4 \cdot 10^{- 4}}{9 \cdot 10^{- 7}}$

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.

$(\frac{5.4}{9}) (\frac{10^{- 4}}{10^{- 7}})$

Step 1.2

Divide $5.4$ by $9$ .

$0.6 \frac{10^{- 4}}{10^{- 7}}$

Step 1.3

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

$0.6 \cdot 10^{- 4 - 7 \cdot - 1}$

Step 1.4

Multiply $- 7$ by $- 1$ .

$0.6 \cdot 10^{- 4 + 7}$

Step 1.5

Add $- 4$ and $7$ .

$0.6 \cdot 10^{3}$

Step 2

Move the decimal point in $0.6$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$6 \cdot 10^{2}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$6 \cdot 10^{2}$

Expanded Form:

$600$