Basic Math Examples

$i k = {(1 + 0.24)}^{\frac{1}{12}} - 1$

Step 1

Add $1$ and $0.24$ .

$i k = {1.24}^{\frac{1}{12}} - 1$

Step 2

Divide each term in $i k = {1.24}^{\frac{1}{12}} - 1$ by $i$ and simplify.

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Step 2.1

Divide each term in $i k = {1.24}^{\frac{1}{12}} - 1$ by $i$ .

$\frac{i k}{i} = \frac{{1.24}^{\frac{1}{12}}}{i} + \frac{- 1}{i}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $i$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{i k}{i} = \frac{{1.24}^{\frac{1}{12}}}{i} + \frac{- 1}{i}$

Step 2.2.1.2

Divide $k$ by $1$ .

$k = \frac{{1.24}^{\frac{1}{12}}}{i} + \frac{- 1}{i}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine the numerators over the common denominator.

$k = \frac{{1.24}^{\frac{1}{12}} - 1}{i}$

Step 2.3.2

Simplify the expression.

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Step 2.3.2.1

Raise $1.24$ to the power of $\frac{1}{12}$ .

$k = \frac{1.01808758 - 1}{i}$

Step 2.3.2.2

Subtract $1$ from $1.01808758$ .

$k = \frac{0.01808758}{i}$

Step 2.3.3

Multiply the numerator and denominator of $\frac{0.01808758}{i}$ by the conjugate of $i$ to make the denominator real.

$k = \frac{0.01808758}{i} \cdot \frac{i}{i}$

Step 2.3.4

Multiply.

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Step 2.3.4.1

Combine.

$k = \frac{0.01808758 i}{i i}$

Step 2.3.4.2

Simplify the denominator.

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Step 2.3.4.2.1

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

$k = \frac{0.01808758 i}{i^{1} i}$

Step 2.3.4.2.2

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

$k = \frac{0.01808758 i}{i^{1} i^{1}}$

Step 2.3.4.2.3

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

$k = \frac{0.01808758 i}{i^{1 + 1}}$

Step 2.3.4.2.4

Add $1$ and $1$ .

$k = \frac{0.01808758 i}{i^{2}}$

Step 2.3.4.2.5

Rewrite $i^{2}$ as $- 1$ .

$k = \frac{0.01808758 i}{- 1}$

Step 2.3.5

Move the negative one from the denominator of $\frac{0.01808758 i}{- 1}$ .

$k = - 1 \cdot (0.01808758 i)$

Step 2.3.6

Rewrite $- 1 \cdot (0.01808758 i)$ as $- (0.01808758 i)$ .

$k = - (0.01808758 i)$

Step 2.3.7

Multiply $0.01808758$ by $- 1$ .

$k = - 0.01808758 i$