What is the simplified form of 24 y to the eighth power over 15 x to the fifth power divided by 8 y to the fourth power over 4 x squared?

Question

asked Mar 25, 2020 197k views

2 Answers

Chubao · Answer 1 · 2020-04-01T09:08:26+0000

For this case we have the following expression:

$\frac {\frac {24y ^ 8} {15x ^ 5}} {\frac {8y ^ 4} {4x ^ 2}} =$

Simplifying we have:

$\frac {\frac {8y ^ 8} {5x ^ 5}} {\frac {2y ^ 4} {x ^ 2}} =\\\frac {8y ^ 8 * x ^ 2} {5x ^ 5 * 2y ^ 4} =$

For power properties of the same base we have:

$\frac {a ^ m} {a ^ n} = a ^ {m-n}$

So:

$\frac {8 * y ^ 8 * x ^ 2} {10 * x ^ 5 * y ^ 4} =\\\frac {4} {5} * y ^ {8-4} * x ^ {2-5} =\\\frac {4y ^ 4} {5x ^ 3}$

Answer:

$\frac {4y ^ 4} {5x ^ 3}$