If the denominator does not equal 0, the equivalent expression of $\frac{14x^4y^6}{7x^8y^2}$ is $\frac{2y^{4}}{x^{4}}$ $\frac{x^{10} y^{14}}{729}$

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

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

Divide 14 by 7

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

Apply the law of indices

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

Evaluate the differences in the exponents

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

Hence, the equivalent expression of $\frac{14x^4y^6}{7x^8y^2}$ is $\frac{2y^{4}}{x^{4}}$

Read more about equivalent expressions at:

brainly.com/question/2972832

#SPJ4

4 0

2 years ago

Please help solve quick

RoseWind [281]

Answer:

see below

Step-by-step explanation:

3x^2 + 17x +10 =0

(3x+ ) ( x+ ) =0

We need to factor 10 = 2*5 or 1*10

They are positive since we have all positive terms

3*5 = 15+2 = 17

The 5 needs to multiply the 3 so it goes on the outside

(3x+ ) ( x+ 5 ) =0

That leaves the 2 on the inside

(3x+ 2 ) ( x+ 5 ) =0

Using the zero product property

3x+2 =0 x+5=0

3x = -2 x=-5

x = -2/3 x = -5

5 0

3 years ago

Find the value of 4x2 + 2y where y= 0.5 and x= 3

Citrus2011 [14]

Answer:

Step-by-step explanation:

substitute the given values for x and y into the expression

4x² + 2y

= 4(3)² + 2( $\frac{1}{2}$ )

= 4(9) + 1

= 36 + 1

= 37

7 0

2 years ago

How many cubic yards are in a ton

katrin [286]

A cubic yard is equal to 27 cubic feet.
And one cubic yard is 2 tons.

8 0

3 years ago