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Monica [59]
3 years ago
6

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?

Mathematics
2 answers:
Gnoma [55]3 years ago
7 0


the answer to the question

monitta3 years ago
3 0

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}

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