Write the Fraction in Simplest Form (-4p^-5)/(-2(p^5)^5)

$\frac{- 4 p^{- 5}}{- 2 {(p^{5})}^{5}}$

Move $p^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 4}{- 2 {(p^{5})}^{5} p^{5}}$

Cancel the common factor of $- 4$ and $- 2$ .

Factor $- 2$ out of $- 4$ .

$\frac{- 2 (2)}{- 2 {(p^{5})}^{5} p^{5}}$

Cancel the common factors.

Factor $- 2$ out of $- 2 {(p^{5})}^{5} p^{5}$ .

$\frac{- 2 (2)}{- 2 ({(p^{5})}^{5} p^{5})}$

Cancel the common factor.

$\frac{- 2 \cdot 2}{- 2 ({(p^{5})}^{5} p^{5})}$

Rewrite the expression.

$\frac{2}{{(p^{5})}^{5} p^{5}}$

Multiply the exponents in ${(p^{5})}^{5}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{2}{p^{5 \cdot 5} p^{5}}$

Multiply $5$ by $5$ .

$\frac{2}{p^{25} p^{5}}$

Multiply $p^{25}$ by $p^{5}$ by adding the exponents.

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

$\frac{2}{p^{25 + 5}}$

Add $25$ and $5$ .

$\frac{2}{p^{30}}$