Algebra Examples

$\frac{1 \cdot 10^{- 15}}{4.2 \cdot 10^{- 7}}$

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.

$(\frac{1}{4.2}) (\frac{10^{- 15}}{10^{- 7}})$

Step 1.2

Divide $1$ by $4.2$ .

$0.\overline{238095} \frac{10^{- 15}}{10^{- 7}}$

Step 1.3

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

$0.\overline{238095} \cdot 10^{- 15 - 7 \cdot - 1}$

Step 1.4

Multiply $- 7$ by $- 1$ .

$0.\overline{238095} \cdot 10^{- 15 + 7}$

Step 1.5

Add $- 15$ and $7$ .

$0.\overline{238095} \cdot 10^{- 8}$

Step 2

Move the decimal point in $0.\overline{238095}$ to the right by $1$ place and decrease the power of $10^{- 8}$ by $1$ .

$2.\overline{380952} \cdot 10^{- 9}$