Simplify (-5^6*(-5^6))/(-5^4)

$\frac{- 5^{6} \cdot (- 5^{6})}{- 5^{4}}$

Step 1

Multiply $5^{6}$ by $5^{6}$ by adding the exponents.

Move $5^{6}$ .

$\frac{- (5^{6} \cdot 5^{6}) \cdot - 1}{- 5^{4}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{- 5^{6 + 6} \cdot - 1}{- 5^{4}}$

Add $6$ and $6$ .

$\frac{- 5^{12} \cdot - 1}{- 5^{4}}$

Step 2

Move the negative in front of the fraction.

$- \frac{5^{12}}{5^{4}}$

Step 3

Cancel the common factor of $5^{12}$ and $5^{4}$ .

Factor $5^{4}$ out of $5^{12}$ .

$- \frac{5^{4} \cdot 5^{8}}{5^{4}}$

Cancel the common factors.

Multiply by $1$ .

$- \frac{5^{4} \cdot 5^{8}}{5^{4} \cdot 1}$

Cancel the common factor.

$- \frac{5^{4} \cdot 5^{8}}{5^{4} \cdot 1}$

Rewrite the expression.

$- \frac{5^{8}}{1}$

Divide $5^{8}$ by $1$ .

$- 5^{8}$

Step 4

Simplify the expression.

Raise $5$ to the power of $8$ .

$- 1 \cdot 390625$

Multiply $- 1$ by $390625$ .

$- 390625$