Respuesta :

Answer:

D

Step-by-step explanation:

a and b goes down because are negative power and 25/5 =5.

The simplification form of the provided expression is 5/a⁹b⁹ option (D) is correct.

What is integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have given an expression:

[tex]= \rm \dfrac{(25a^-^5)(b^-^8) }{5a^4b}[/tex]

[tex]= \rm 5{(a^-^5^{-4})(b^-^8^-^1) }[/tex]  

= 5a⁻⁹b⁻⁹

or

[tex]\rm = \dfrac{5}{a^9b^9}[/tex]

Thus, the simplification form of the provided expression is 5/a⁹b⁹ option (D) is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

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