Trigonometry Examples

$\sqrt{\frac{2 (2.23 \cdot 10^{- 15})}{9.11 \cdot 10^{- 31}} \cdot (\frac{1^{4}}{1})}$

Step 1

Multiply $2$ by $2.23$ .

$\sqrt{\frac{4.46 \cdot 10^{- 15}}{9.11 \cdot 10^{- 31}} \cdot \frac{1^{4}}{1}}$

Step 2

Divide using scientific notation.

Tap for more steps...

Step 2.1

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

$\sqrt{(\frac{4.46}{9.11}) (\frac{10^{- 15}}{10^{- 31}}) \cdot \frac{1^{4}}{1}}$

Step 2.2

Divide $4.46$ by $9.11$ .

$\sqrt{0.48957189 \frac{10^{- 15}}{10^{- 31}} \cdot \frac{1^{4}}{1}}$

Step 2.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$\sqrt{0.48957189 \cdot 10^{- 15 - 31 \cdot - 1} \cdot \frac{1^{4}}{1}}$

Step 2.4

Multiply $- 31$ by $- 1$ .

$\sqrt{0.48957189 \cdot 10^{- 15 + 31} \cdot \frac{1^{4}}{1}}$

Step 2.5

Add $- 15$ and $31$ .

$\sqrt{0.48957189 \cdot 10^{16} \cdot \frac{1^{4}}{1}}$

Step 3

Combine $0.48957189$ and $\frac{1^{4}}{1}$ .

$\sqrt{10^{16} \frac{0.48957189 \cdot 1^{4}}{1}}$

Step 4

Combine $10^{16}$ and $\frac{0.48957189 \cdot 1^{4}}{1}$ .

$\sqrt{\frac{10^{16} (0.48957189 \cdot 1^{4})}{1}}$

Step 5

Multiply $1^{4}$ by $0.48957189$ .

$\sqrt{\frac{10^{16} \cdot 0.48957189}{1}}$

Step 6

Simplify the expression.

Tap for more steps...

Step 6.1

Divide $10^{16} \cdot 0.48957189$ by $1$ .

$\sqrt{10^{16} \cdot 0.48957189}$

Step 6.2

Raise $10$ to the power of $16$ .

$\sqrt{10000000000000000 \cdot 0.48957189}$

Step 6.3

Multiply $10000000000000000$ by $0.48957189$ .

$\sqrt{4895718990120746.43249176}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\sqrt{4895718990120746.43249176}$

Decimal Form:

$69969414.6761336$