Trigonometry Examples

$703 \cdot 204 \cdot 69^{- 2}$

Step 1

Multiply $703$ by $204$ .

$143412 \cdot 69^{- 2}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$143412 \cdot \frac{1}{69^{2}}$

Step 3

Raise $69$ to the power of $2$ .

$143412 \cdot \frac{1}{4761}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $143412$ .

$3 (47804) \cdot \frac{1}{4761}$

Step 4.2

Factor $3$ out of $4761$ .

$3 \cdot 47804 \cdot \frac{1}{3 \cdot 1587}$

Step 4.3

Cancel the common factor.

$3 \cdot 47804 \cdot \frac{1}{3 \cdot 1587}$

Step 4.4

Rewrite the expression.

$47804 \cdot \frac{1}{1587}$

Step 5

Combine $47804$ and $\frac{1}{1587}$ .

$\frac{47804}{1587}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{47804}{1587}$

Decimal Form:

$30.12224322 \dots$

Mixed Number Form:

$30 \frac{194}{1587}$