Trigonometry Examples

$\frac{6.3 \cdot 10 \cdot 7.5 \cdot 10^{2}}{4.5 \cdot 10^{4}}$

Step 1

Multiply $10$ by $10^{2}$ by adding the exponents.

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Step 1.1

Move $10^{2}$ .

$\frac{6.3 \cdot (10^{2} \cdot 10) \cdot 7.5}{4.5 \cdot 10^{4}}$

Step 1.2

Multiply $10^{2}$ by $10$ .

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Step 1.2.1

Raise $10$ to the power of $1$ .

$\frac{6.3 \cdot (10^{2} \cdot 10^{1}) \cdot 7.5}{4.5 \cdot 10^{4}}$

Step 1.2.2

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

$\frac{6.3 \cdot 10^{2 + 1} \cdot 7.5}{4.5 \cdot 10^{4}}$

Step 1.3

Add $2$ and $1$ .

$\frac{6.3 \cdot 10^{3} \cdot 7.5}{4.5 \cdot 10^{4}}$

Step 2

Cancel the common factor of $10^{3}$ and $10^{4}$ .

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Step 2.1

Factor $10^{3}$ out of $6.3 \cdot 10^{3} \cdot 7.5$ .

$\frac{10^{3} (6.3 \cdot 7.5)}{4.5 \cdot 10^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $10^{3}$ out of $4.5 \cdot 10^{4}$ .

$\frac{10^{3} (6.3 \cdot 7.5)}{10^{3} (4.5 \cdot 10)}$

Step 2.2.2

Cancel the common factor.

$\frac{10^{3} (6.3 \cdot 7.5)}{10^{3} (4.5 \cdot 10)}$

Step 2.2.3

Rewrite the expression.

$\frac{6.3 \cdot 7.5}{4.5 \cdot 10}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $6.3$ by $7.5$ .

$\frac{47.25}{4.5 \cdot 10}$

Step 3.2

Multiply $4.5$ by $10$ .

$\frac{47.25}{45}$

Step 3.3

Divide $47.25$ by $45$ .

$1.05$