Question

Select the correct answer from the drop-down menu. Find the missing term. On dividing both the numerator and the denominator of by , the result is .

Answer 1

Step-by-s4x^5y^3 x (3x^8y^7) over 6x^4t^10

first what you must do is remove the parentheses

then reduce the expression by canceling the common factors which will give you 2x^5y^3 x 3x^8y^7 over 3x^4y^10. What you must do from here is reduce the expression by cancelling the common factors again which should give you

2xy^3 x 3x^8y^7 over 3y^10. If you are still following, reduce again same as before and you should get 2x x 3x^8y^7 over 3y^7.

then reduce again and get 2xx^8y^7 over y^7.

then reduce again and you should get 2xx^8.

move the x^8 and you should get 2(x^8x) use the power rule a^m a^n= a^m+n to combine exponents which gives you 2x^8+1. then add 8 and 1 to get 9. And your final answer should be 2x^9

Answer 2

On dividing both the numerator and the denominator of
`(20a^2b)/(5ab^2)` by 5b, the result is
`(4a)/(b)`.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Note: Let the variable x represent the unknown expression or missing term.

Based on the information provided, we can logically set up the following mathematical equation:

`(20a^2b)/(5ab^2) / (x)/(x) =(4a)/(b)`

Next, we would solve the equation in parts by using the numerators and denominators as follows;

`20a^2b / x = 4a\\\\(20a^2b)/(x) =4a\\\\x4a=20a^2b\\\\x=(20a^2b)/(4a) \\\\x=5a\\\\\\\\(5ab^2)/(x) =b\\\\xb=5ab^2\\\\x=(5ab^2)/(b) \\\\x=5a`

Complete Question:

Select the correct answer from the drop-down menu.

Find the missing term.

On dividing both the numerator and the denominator of
`(20a^2b)/(5ab^2)` by ___, the result is
`(4a)/(b)`.