Respuesta :

Given:

The expression in negative exponents is given.

Required:

Write these powers as a fraction with a positive exponent.

Explanation:

Use the exponent property

[tex]a^{-m}=\frac{1}{a^m}[/tex]

(a)

[tex]5^{-3}=\frac{1}{5^3}[/tex]

(b)

[tex]m^{-6}=\frac{1}{m^6}[/tex]

(c)

[tex](xy)^{-4}=\frac{1}{(xy)^4}[/tex]

(d)

[tex]\begin{gathered} (-b)^{-2}=\frac{1}{(-b)^2} \\ =\frac{1}{(-1)^2(b)^2} \\ =\frac{1}{b^2} \end{gathered}[/tex]

Final Answer: