Evaluate -192(-1/4)^(6-1)

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

Subtract $1$ from $6$ .

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

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

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

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

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

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

Simplify the expression.

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

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

One to any power is one.

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

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

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

Cancel the common factor of $64$ .

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

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

Factor $64$ out of $- 192$ .

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

Factor $64$ out of $1024$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $- 3$ by $- 1$ .

$\frac{3}{16}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{16}$

Decimal Form:

$0.1875$