Question

Simplify 25p^6q^9 / 45p^8q^4. write answer using a positive exponent

Answer 1

The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;

• Division is 5p^6 q^9 / 9p^8 q^4
• Elevated form is  5/9 p^-2 q^5

What are algebraic expressions?

Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.

They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc

We also know that index forms are also know as standard forms.

They are mathematical expressions showing the power of exponent of a variable in terms of another variable.

Given the index algebraic forms;

25p^6q^9 / 45p^8q^4

Using the rule of indices, we take the negative exponent of the divisor and multiply through.

We have;

5p^6 q^9 × 9p^-8 q^-4

Add exponential values

5/9 p^6-8 q^9 -4

5/9 p^-2 q^5

Thus, the expression is simplified to 5/9 p^-2 q^5

Learn more about index forms here:

brainly.com/question/15361818

#SPJ1