Answer is B hope it helps
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
<h3>What are algebraic expressions?</h3>
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:
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Answer:
7(2x +7)
Step-by-step explanation:
You will need 8 drops of blue coloring to mix icing with 4 drops of yellow coloring.
In order to make the icing, you <u>used 2 drops of yellow coloring</u> for every<u> 4 drops of blue coloring. </u>
You need to first find the unit rate of blue coloring to yellow coloring.
<em>= blue coloring required / yellow coloring </em>
= 4 / 2
= 2
This means that for every drop of yellow coloring used, 2 drops of blue is used.
If you are to <u>use 4 drops of yellow</u>, the number of blue drops to use is:
<em>= Number of yellow drops x unit rate</em>
= 4 x 2
= 8 drops of blue coloring
In conclusion, you will need 8 drops of blue coloring for 4 drops of yellow coloring.
<em>Find out more at brainly.com/question/17041316.</em>
