Basic Math Examples

6

$6$ ,

62606957 \cdot 10^{- 34} \cdot 3 \cdot 10^{8}

$62606957 \cdot 10^{- 34} \cdot 3 \cdot 10^{8}$

Step 1

Multiply

62606957

$62606957$ by

3

$3$ .

6, 187820871 (10^{- 34} \cdot 10^{8})

$6, 187820871 (10^{- 34} \cdot 10^{8})$

Step 2

Multiply

10^{- 34}

$10^{- 34}$ by

10^{8}

$10^{8}$ by adding the exponents.

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Step 2.1

Use the power rule

a^{m} a^{n} = a^{m + n}

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

6, 187820871 \cdot 10^{- 34 + 8}

$6, 187820871 \cdot 10^{- 34 + 8}$

Step 2.2

Add

- 34

$- 34$ and

8

$8$ .

6, 187820871 \cdot 10^{- 26}

$6, 187820871 \cdot 10^{- 26}$

6, 187820871 \cdot 10^{- 26}

$6, 187820871 \cdot 10^{- 26}$

Step 3

Move the decimal point in

187820871

$187820871$ to the left by

8

$8$ places and increase the power of

10^{- 26}

$10^{- 26}$ by

8

$8$ .

6, 1.87820871 \cdot 10^{- 18}

$6, 1.87820871 \cdot 10^{- 18}$

Step 4

The mean of a set of numbers is the sum divided by the number of terms.

\frac{6 + 1.87820871 \cdot 10^{- 18}}{2}

$\frac{6 + 1.87820871 \cdot 10^{- 18}}{2}$

Step 5

Convert

6

$6$ to scientific notation.

\frac{6 \cdot 10^{0} + 1.87820871 \cdot 10^{- 18}}{2}

$\frac{6 \cdot 10^{0} + 1.87820871 \cdot 10^{- 18}}{2}$

Step 6

Move the decimal point in

1.87820871

$1.87820871$ to the left by

18

$18$ places and increase the power of

10^{- 18}

$10^{- 18}$ by

18

$18$ .

\frac{6 \cdot 10^{0} + 0 \cdot 10^{0}}{2}

$\frac{6 \cdot 10^{0} + 0 \cdot 10^{0}}{2}$

Step 7

Factor

10^{0}

$10^{0}$ out of

6 \cdot 10^{0} + 0 \cdot 10^{0}

$6 \cdot 10^{0} + 0 \cdot 10^{0}$ .

\frac{(6 + 0) \cdot 10^{0}}{2}

$\frac{(6 + 0) \cdot 10^{0}}{2}$

Step 8

Add

6

$6$ and

0

$0$ .

\frac{6 \cdot 10^{0}}{2}

$\frac{6 \cdot 10^{0}}{2}$

Step 9

Divide using scientific notation.

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Step 9.1

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

(\frac{6}{2}) (\frac{10^{0}}{1})

$(\frac{6}{2}) (\frac{10^{0}}{1})$

Step 9.2

Divide

6

$6$ by

2

$2$ .

3 \frac{10^{0}}{1}

$3 \frac{10^{0}}{1}$

Step 9.3

Divide

10^{0}

$10^{0}$ by

1

$1$ .

3 \cdot 10^{0}

$3 \cdot 10^{0}$

3 \cdot 10^{0}

$3 \cdot 10^{0}$

Step 10

Convert

3 \cdot 10^{0}

$3 \cdot 10^{0}$ from scientific notation.

3

$3$

Step 11

Divide.

3

$3$