Basic Math Examples

$\frac{27}{3^{3}} = - y$

Step 1

Rewrite the equation as $- y = \frac{27}{3^{3}}$ .

$- y = \frac{27}{3^{3}}$

Step 2

Divide each term in $- y = \frac{27}{3^{3}}$ by $- 1$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- y = \frac{27}{3^{3}}$ by $- 1$ .

$\frac{- y}{- 1} = \frac{\frac{27}{3^{3}}}{- 1}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{\frac{27}{3^{3}}}{- 1}$

Step 2.2.2

Divide $y$ by $1$ .

$y = \frac{\frac{27}{3^{3}}}{- 1}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify the expression.

Tap for more steps...

Step 2.3.1.1

Move the negative one from the denominator of $\frac{\frac{27}{3^{3}}}{- 1}$ .

$y = - 1 \cdot \frac{27}{3^{3}}$

Step 2.3.1.2

Rewrite $- 1 \cdot \frac{27}{3^{3}}$ as $- \frac{27}{3^{3}}$ .

$y = - \frac{27}{3^{3}}$

Step 2.3.1.3

Raise $3$ to the power of $3$ .

$y = - \frac{27}{27}$

Step 2.3.2

Cancel the common factor of $27$ .

Tap for more steps...

Step 2.3.2.1

Cancel the common factor.

$y = - \frac{27}{27}$

Step 2.3.2.2

Rewrite the expression.

$y = - 1 \cdot 1$

Step 2.3.3

Multiply $- 1$ by $1$ .

$y = - 1$