Evaluate -1/5*5^(7-1)

$- \frac{1}{5} \cdot 5^{7 - 1}$

Step 1

Subtract $1$ from $7$ .

$- \frac{1}{5} \cdot 5^{6}$

Step 2

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{1}{5}$ into the numerator.

$\frac{- 1}{5} \cdot 5^{6}$

Factor $5$ out of $5^{6}$ .

$\frac{- 1}{5} \cdot (5 \cdot 5^{5})$

Cancel the common factor.

$\frac{- 1}{5} \cdot (5 \cdot 5^{5})$

Rewrite the expression.

$- 1 \cdot 5^{5}$

Step 3

Simplify the expression.

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

$- 1 \cdot 3125$

Multiply $- 1$ by $3125$ .

$- 3125$