Basic Math Examples

$6$ , $67 \cdot 10^{- 11} \cdot 6 \cdot 10^{24} \cdot (1 (\frac{1}{6400000}))$

Step 1

Multiply $67$ by $6$ .

$6, 402 (10^{- 11} \cdot 10^{24}) \cdot (1 (\frac{1}{6400000}))$

Step 2

Multiply $10^{- 11}$ by $10^{24}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6, 402 \cdot 10^{- 11 + 24} \cdot (1 (\frac{1}{6400000}))$

Step 2.2

Add $- 11$ and $24$ .

$6, 402 \cdot 10^{13} \cdot (1 (\frac{1}{6400000}))$

Step 3

Move the decimal point in $402$ to the left by $2$ places and increase the power of $10^{13}$ by $2$ .

$6, 4.02 \cdot 10^{15} \cdot (1 (\frac{1}{6400000}))$

Step 4

Multiply $\frac{1}{6400000}$ by $1$ .

$6, 4.02 \cdot 10^{15} \cdot \frac{1}{6400000}$

Step 5

Multiply $4.02 \cdot 10^{15} \frac{1}{6400000}$ .

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Step 5.1

Combine $4.02$ and $\frac{1}{6400000}$ .

$6, 10^{15} (\frac{4.02}{6400000})$

Step 5.2

Combine $10^{15}$ and $\frac{4.02}{6400000}$ .

$6, \frac{10^{15} \cdot 4.02}{6400000}$

Step 6

Raise $10$ to the power of $15$ .

$6, \frac{1000000000000000 \cdot 4.02}{6400000}$

Step 7

Multiply $1000000000000000$ by $4.02$ .

$6, \frac{4020000000000000}{6400000}$

Step 8

Divide $4020000000000000$ by $6400000$ .

$6, 628125000$

Step 9

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

$\frac{6 + 628125000}{2}$

Step 10

Cancel the common factor of $6 + 628125000$ and $2$ .

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Step 10.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 3 + 628125000}{2}$

Step 10.2

Factor $2$ out of $628125000$ .

$\frac{2 \cdot 3 + 2 \cdot 314062500}{2}$

Step 10.3

Factor $2$ out of $2 \cdot 3 + 2 \cdot 314062500$ .

$\frac{2 \cdot (3 + 314062500)}{2}$

Step 10.4

Cancel the common factors.

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Step 10.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (3 + 314062500)}{2 (1)}$

Step 10.4.2

Cancel the common factor.

$\frac{2 \cdot (3 + 314062500)}{2 \cdot 1}$

Step 10.4.3

Rewrite the expression.

$\frac{3 + 314062500}{1}$

Step 10.4.4

Divide $3 + 314062500$ by $1$ .

$3 + 314062500$

Step 11

Add $3$ and $314062500$ .

$314062503$

Step 12

Divide.

$314062503$