Algebra Examples

$\frac{1 \cdot 10^{16}}{6 \cdot 10^{5}}$

Step 1

Divide using scientific notation.

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

$(\frac{1}{6}) (\frac{10^{16}}{10^{5}})$

Divide $1$ by $6$ .

$0.1\overline{6} \frac{10^{16}}{10^{5}}$

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

$0.1\overline{6} \cdot 10^{16 + 5 \cdot - 1}$

Multiply $5$ by $- 1$ .

$0.1\overline{6} \cdot 10^{16 - 5}$

Subtract $5$ from $16$ .

$0.1\overline{6} \cdot 10^{11}$

Step 2

Move the decimal point in $0.1\overline{6}$ to the right by $1$ place and decrease the power of $10^{11}$ by $1$ .

$1.\overline{6} \cdot 10^{10}$