Algebra Examples

$\frac{5.4 \cdot 10^{2} \cdot 7000}{1.8 \cdot 10^{8}}$

Step 1

Multiply $5.4$ by $7000$ .

$\frac{37800 \cdot 10^{2}}{1.8 \cdot 10^{8}}$

Step 2

Divide using scientific notation.

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Step 2.1

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

$(\frac{37800}{1.8}) (\frac{10^{2}}{10^{8}})$

Step 2.2

Divide $37800$ by $1.8$ .

$21000 \frac{10^{2}}{10^{8}}$

Step 2.3

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

$21000 \cdot 10^{2 + 8 \cdot - 1}$

Step 2.4

Multiply $8$ by $- 1$ .

$21000 \cdot 10^{2 - 8}$

Step 2.5

Subtract $8$ from $2$ .

$21000 \cdot 10^{- 6}$

Step 3

Move the decimal point in $21000$ to the left by $4$ places and increase the power of $10^{- 6}$ by $4$ .

$2.1 \cdot 10^{- 2}$