Evaluate 1/4*(-4)^(8-1)

$\frac{1}{4} \cdot {(- 4)}^{8 - 1}$

Step 1

Simplify the expression.

Subtract $1$ from $8$ .

$\frac{1}{4} \cdot {(- 4)}^{7}$

Raise $- 4$ to the power of $7$ .

$\frac{1}{4} \cdot - 16384$

$\frac{1}{4} \cdot - 16384$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $- 16384$ .

$\frac{1}{4} \cdot (4 (- 4096))$

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot - 4096)$

Rewrite the expression.

$- 4096$

$- 4096$

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