Basic Math Examples

s i m p l i f y - \frac{24}{14}

$s i m p l i f y - \frac{24}{14}$

Step 1

Multiply

s i m p l i

$s i m p l i$ .

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Step 1.1

Raise

i

$i$ to the power of

1

$1$ .

s m p l (i^{1} i) f y - \frac{24}{14}

$s m p l (i^{1} i) f y - \frac{24}{14}$

Step 1.2

Raise

i

$i$ to the power of

1

$1$ .

s m p l (i^{1} i^{1}) f y - \frac{24}{14}

$s m p l (i^{1} i^{1}) f y - \frac{24}{14}$

Step 1.3

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

s m p l i^{1 + 1} f y - \frac{24}{14}

$s m p l i^{1 + 1} f y - \frac{24}{14}$

Step 1.4

Add

1

$1$ and

1

$1$ .

s m p l i^{2} f y - \frac{24}{14}

$s m p l i^{2} f y - \frac{24}{14}$

s m p l i^{2} f y - \frac{24}{14}

$s m p l i^{2} f y - \frac{24}{14}$

Step 2

Rewrite

i^{2}

$i^{2}$ as

- 1

$- 1$ .

s m p l \cdot - 1 f y - \frac{24}{14}

$s m p l \cdot - 1 f y - \frac{24}{14}$

Step 3

Move

- 1

$- 1$ to the left of

s m p l

$s m p l$ .

- 1 \cdot (s m p l) f y - \frac{24}{14}

$- 1 \cdot (s m p l) f y - \frac{24}{14}$

Step 4

Rewrite

- 1 (s m p l)

$- 1 (s m p l)$ as

- (s m p l)

$- (s m p l)$ .

- (s m p l) f y - \frac{24}{14}

$- (s m p l) f y - \frac{24}{14}$

Step 5

Cancel the common factor of

24

$24$ and

14

$14$ .

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Step 5.1

Factor

2

$2$ out of

24

$24$ .

- s m p l f y - \frac{2 (12)}{14}

$- s m p l f y - \frac{2 (12)}{14}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

2

$2$ out of

14

$14$ .

- s m p l f y - \frac{2 \cdot 12}{2 \cdot 7}

$- s m p l f y - \frac{2 \cdot 12}{2 \cdot 7}$

Step 5.2.2

Cancel the common factor.

$- s m p l f y - \frac{2 \cdot 12}{2 \cdot 7}$

Step 5.2.3

Rewrite the expression.

$- s m p l f y - \frac{12}{7}$

$- s m p l f y - \frac{12}{7}$

$- s m p l f y - \frac{12}{7}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$