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Simplify simplify-24/14

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

Step 1

Multiply $s i m p l i$ .

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

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

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

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

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

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

Add $1$ and $1$ .

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

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

Step 2

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

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

Step 3

Move $- 1$ to the left of $s m p l$ .

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

Step 4

Rewrite $- 1 (s m p l)$ as $- (s m p l)$ .

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

Step 5

Cancel the common factor of $24$ and $14$ .

Factor $2$ out of $24$ .

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

Cancel the common factors.

Factor $2$ out of $14$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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