Pre-Algebra Examples

$3 \cdot 10^{8} \div 7.5 \cdot 10^{- 7}$

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.

$(\frac{3}{7.5}) (\frac{10^{8}}{1}) \cdot 10^{- 7}$

Step 1.2

Divide $3$ by $7.5$ .

$0.4 \frac{10^{8}}{1} \cdot 10^{- 7}$

Step 1.3

Divide $10^{8}$ by $1$ .

$0.4 \cdot 10^{8} \cdot 10^{- 7}$

Step 2

Multiply $10^{8}$ by $10^{- 7}$ by adding the exponents.

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Step 2.1

Move $10^{- 7}$ .

$0.4 \cdot (10^{- 7} \cdot 10^{8})$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$0.4 \cdot 10^{- 7 + 8}$

Step 2.3

Add $- 7$ and $8$ .

$0.4 \cdot 10^{1}$

Step 3

Simplify $0.4 \cdot 10^{1}$ .

$0.4 \cdot 10$

Step 4

Multiply $0.4$ by $10$ .

$4$