Algebra Examples

$a_{4} = \frac{{(- 1)}^{4 + 1}}{3^{4} - 1}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Add $4$ and $1$ .

$a_{4} = \frac{{(- 1)}^{5}}{3^{4} - 1}$

Step 1.2

Raise $- 1$ to the power of $5$ .

$a_{4} = \frac{- 1}{3^{4} - 1}$

$a_{4} = \frac{- 1}{3^{4} - 1}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Raise $3$ to the power of $4$ .

$a_{4} = \frac{- 1}{81 - 1}$

Step 2.2

Subtract $1$ from $81$ .

$a_{4} = \frac{- 1}{80}$

$a_{4} = \frac{- 1}{80}$

Step 3

Move the negative in front of the fraction.

$a_{4} = - \frac{1}{80}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a_{4} = - \frac{1}{80}$

Decimal Form:

$a_{4} = - 0.0125$

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