Simplify:

Question

start fraction, 150, x, to the power 8 , y, to the power 4 , divided by, 25, x, to the power 6 , y, cubed, end fraction
25x
6
y
3

150x
8
y
4

​

Answer
Attempt 1 out of 2
Multiple Choice Answers
125, x, squared, y125x
2
y
6, x, to the power 14 , y, to the power 76x
14
y
7

125, x, to the power 14 , y, to the power 7125x
14
y
7

6, x, squared, y6x
2
y

Answer 1

To simplify the expression

\[ \frac{150x^8y^4}{25x^6y^3}, \]

we can start by simplifying the coefficients and then the variables.

1. Coefficients:

   \[ \frac{150}{25} = 6. \]

2. Variables:

   For \(x\): \[ \frac{x^8}{x^6} = x^{8-6} = x^2. \]

   For \(y\): \[ \frac{y^4}{y^3} = y^{4-3} = y^1 = y. \]

Now, combining these results, we get:

\[ 6x^2y. \]

Thus, the simplified expression is:

\[ 6x^2y. \]

From the provided multiple choice answers, it looks like the answer \(6x^2y\) is optioned, so that is the correct choice.