Question

Pleasee! Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Answer 1

Answer:

Option A - $\frac{2y^{4}}{x^4}$

Step-by-step explanation:

Given : Expression $\frac{14x^4y^6}{7x^8y^2}$

To find : Which expression is equivalent to the given expression?

Solution :

Step 1 - Write the expression,

$\frac{14x^4y^6}{7x^8y^2}$

Step 2 - Apply exponent rule, $\frac{x^a}{x^b}=x^{a-b}$

$=\frac{14}{7}x^{4-8}y^{6-2}$

Step 3 - Solve,

$=2x^{-4}y^{4}$

$=\frac{2y^{4}}{x^4}$

So, $\frac{14x^4y^6}{7x^8y^2}=\frac{2y^{4}}{x^4}$

Therefore, Option A is correct.

Answer 2

Answer:

A. 2y^4 over x^2

Step-by-step explanation:

4x^4y^6 ÷ 7x^8y^2

First, you will find the GCF of the equation which is: 7x^4y^2 .

Then, you will divide both of the equation by the GCF which will become:

14x^4y^6 ÷ 7x^4y^2 = 2y^4

7x^8y^2 ÷ 7x^4y^2 = x^2

Hence, the final answer is 2y^4 over x^2