Algebra Examples

$- 192 {(- \frac{1}{4})}^{6 - 1}$

Step 1

Subtract $1$ from $6$ .

$- 192 {(- \frac{1}{4})}^{5}$

Step 2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 2.1

Apply the product rule to $- \frac{1}{4}$ .

$- 192 ({(- 1)}^{5} {(\frac{1}{4})}^{5})$

Step 2.2

Apply the product rule to $\frac{1}{4}$ .

$- 192 ({(- 1)}^{5} \frac{1^{5}}{4^{5}})$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

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

$- 192 (- \frac{1^{5}}{4^{5}})$

Step 3.2

One to any power is one.

$- 192 (- \frac{1}{4^{5}})$

Step 3.3

Raise $4$ to the power of $5$ .

$- 192 (- \frac{1}{1024})$

Step 4

Cancel the common factor of $64$ .

Tap for more steps...

Step 4.1

Move the leading negative in $- \frac{1}{1024}$ into the numerator.

$- 192 (\frac{- 1}{1024})$

Step 4.2

Factor $64$ out of $- 192$ .

$64 (- 3) \frac{- 1}{1024}$

Step 4.3

Factor $64$ out of $1024$ .

$64 \cdot - 3 \frac{- 1}{64 \cdot 16}$

Step 4.4

Cancel the common factor.

$64 \cdot - 3 \frac{- 1}{64 \cdot 16}$

Step 4.5

Rewrite the expression.

$- 3 (\frac{- 1}{16})$

Step 5

Combine $- 3$ and $\frac{- 1}{16}$ .

$\frac{- 3 \cdot - 1}{16}$

Step 6

Multiply $- 3$ by $- 1$ .

$\frac{3}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{16}$

Decimal Form:

$0.1875$