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kherson [118]
3 years ago
13

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

Mathematics
2 answers:
AysviL [449]3 years ago
7 0

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.

Ilia_Sergeevich [38]3 years ago
6 0

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

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