Trigonometry Examples

$\frac{5}{10^{7}} \cdot (9.8) \cdot \frac{{(3000)}^{2}}{(6.67 \cdot 10^{- 11}) (3000 - 1000)}$

Step 1

Raise $3000$ to the power of $2$ .

$\frac{5}{10^{7}} \cdot (9.8) \cdot \frac{9000000}{(6.67 \cdot 10^{- 11}) (3000 - 1000)}$

Step 2

Multiply $3000 - 1000$ by $6.67$ .

$\frac{5}{10^{7}} \cdot (9.8) \cdot \frac{9000000}{13340 \cdot 10^{- 11}}$

Step 3

Move the decimal point in $13340$ to the left by $4$ places and increase the power of $10^{- 11}$ by $4$ .

$\frac{5}{10^{7}} \cdot (9.8) \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 4

Raise $10$ to the power of $7$ .

$\frac{5}{10000000} \cdot 9.8 \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 5

Cancel the common factor of $5$ and $10000000$ .

Tap for more steps...

Step 5.1

Factor $5$ out of $5$ .

$\frac{5 (1)}{10000000} \cdot 9.8 \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor $5$ out of $10000000$ .

$\frac{5 \cdot 1}{5 \cdot 2000000} \cdot 9.8 \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 5.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot 2000000} \cdot 9.8 \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 5.2.3

Rewrite the expression.

$\frac{1}{2000000} \cdot 9.8 \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 6

Combine $\frac{1}{2000000}$ and $9.8$ .

$\frac{9.8}{2000000} \cdot \frac{9000000}{1.334 \cdot 10^{- 7}}$

Step 7

Combine.

$\frac{9.8 \cdot 9000000}{2000000 \cdot 1.334 \cdot 10^{- 7}}$

Step 8

Move $10^{- 7}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{9.8 \cdot 9000000 \cdot 10^{7}}{2000000 \cdot 1.334}$

Step 9

Cancel the common factor of $9000000$ and $2000000$ .

Tap for more steps...

Step 9.1

Factor $1000000$ out of $9.8 \cdot 9000000 \cdot 10^{7}$ .

$\frac{1000000 (0.0000098 \cdot 9000000 \cdot 10^{7})}{2000000 \cdot 1.334}$

Step 9.2

Cancel the common factors.

Tap for more steps...

Step 9.2.1

Factor $1000000$ out of $2000000 \cdot 1.334$ .

$\frac{1000000 (0.0000098 \cdot 9000000 \cdot 10^{7})}{1000000 (2 \cdot 1.334)}$

Step 9.2.2

Cancel the common factor.

$\frac{1000000 (0.0000098 \cdot 9000000 \cdot 10^{7})}{1000000 (2 \cdot 1.334)}$

Step 9.2.3

Rewrite the expression.

$\frac{0.0000098 \cdot 9000000 \cdot 10^{7}}{2 \cdot 1.334}$

Step 10

Cancel the common factor of $9000000$ and $2$ .

Tap for more steps...

Step 10.1

Factor $2$ out of $0.0000098 \cdot 9000000 \cdot 10^{7}$ .

$\frac{2 (0.0000049 \cdot 9000000 \cdot 10^{7})}{2 \cdot 1.334}$

Step 10.2

Cancel the common factors.

Tap for more steps...

Step 10.2.1

Factor $2$ out of $2 \cdot 1.334$ .

$\frac{2 (0.0000049 \cdot 9000000 \cdot 10^{7})}{2 (1.334)}$

Step 10.2.2

Cancel the common factor.

$\frac{2 (0.0000049 \cdot 9000000 \cdot 10^{7})}{2 \cdot 1.334}$

Step 10.2.3

Rewrite the expression.

$\frac{0.0000049 \cdot 9000000 \cdot 10^{7}}{1.334}$

Step 11

Multiply $0.0000049$ by $9000000$ .

$\frac{44.1 \cdot 10^{7}}{1.334}$

Step 12

Move the decimal point in $44.1$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$\frac{4.41 \cdot 10^{8}}{1.334}$

Step 13

Divide using scientific notation.

Tap for more steps...

Step 13.1

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

$(\frac{4.41}{1.334}) (\frac{10^{8}}{1})$

Step 13.2

Divide $4.41$ by $1.334$ .

$3.30584707 \frac{10^{8}}{1}$

Step 13.3

Divide $10^{8}$ by $1$ .

$3.30584707 \cdot 10^{8}$

Step 14

The result can be shown in multiple forms.

Scientific Notation:

$3.30584707 \cdot 10^{8}$

Expanded Form:

$330584707.646177$