Basic Math Examples

$\frac{(1.96 \cdot 10^{8}) (3.51 \cdot 10^{- 1})}{(4 \cdot 10^{4}) (3 \cdot 10^{7})}$

Step 1

Multiply

$1.96$ by

$3.51$ .

$\frac{6.8796 (10^{8} \cdot 10^{- 1})}{(4 \cdot 10^{4}) (3 \cdot 10^{7})}$

Step 2

Multiply

$10^{8}$ by

$10^{- 1}$ by adding the exponents.

Tap for more steps...

Step 2.1

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6.8796 \cdot 10^{8 - 1}}{(4 \cdot 10^{4}) (3 \cdot 10^{7})}$

Step 2.2

Subtract

$1$ from

$8$ .

$\frac{6.8796 \cdot 10^{7}}{(4 \cdot 10^{4}) (3 \cdot 10^{7})}$

Step 3

Multiply

$4$ by

$3$ .

$\frac{6.8796 \cdot 10^{7}}{12 (10^{4} \cdot 10^{7})}$

Step 4

Multiply

$10^{4}$ by

$10^{7}$ by adding the exponents.

Tap for more steps...

Step 4.1

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6.8796 \cdot 10^{7}}{12 \cdot 10^{4 + 7}}$

Step 4.2

Add

$4$ and

$7$ .

$\frac{6.8796 \cdot 10^{7}}{12 \cdot 10^{11}}$

Step 5

Divide using scientific notation.

Tap for more steps...

Step 5.1

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

$(\frac{6.8796}{12}) (\frac{10^{7}}{10^{11}})$

Step 5.2

Divide

$6.8796$ by

$12$ .

$0.5733 \frac{10^{7}}{10^{11}}$

Step 5.3

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

$0.5733 \cdot 10^{7 + 11 \cdot - 1}$

Step 5.4

Multiply

$11$ by

$- 1$ .

$0.5733 \cdot 10^{7 - 11}$

Step 5.5

Subtract

$11$ from

$7$ .

$0.5733 \cdot 10^{- 4}$

Step 6

Move the decimal point in

$0.5733$ to the right by

$1$ place and decrease the power of

$10^{- 4}$ by

$1$ .

$5.733 \cdot 10^{- 5}$