Question

Simplify (x^8/x^2)×(x^8/x^4)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can combine the two fractions by

keeping a common denominator and then multiply the numerators.
The common denominator is x^4.
The first fraction becomes (x^8/x^2) × (x^8/x^4).
We can now multiply the numerators.
This gives us x^16 / (x^2 × x^4).
We know that when we multiply two exponents with the same base, we add the exponents.
So, x^2 × x^4 can be simplified to x^(2+4) = x^6.
Therefore, the simplified expression is x^16 / x^6.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression (x^8/x^2) * (x^8/x^4), we can start by combining the two fractions.

First, let's simplify the numerator of the first fraction, which is x^8.

Next, let's simplify the denominator of the first fraction, which is x^2.

Simplifying x^8 / x^2, we can subtract the exponents (8 - 2) to get x^(8-2) = x^6.

Now, let's simplify the numerator of the second fraction, which is x^8.

Finally, let's simplify the denominator of the second fraction, which is x^4.

Simplifying x^8 / x^4, we can subtract the exponents (8 - 4) to get x^(8-4) = x^4.

Now, let's combine the two simplified fractions:

(x^6/x^4) * (x^8 / x^4)

To multiply the fractions, we can multiply the numerators together and the denominators together:

(x^6 * x^8) / (x^4 * x^4)

Now, let's simplify the numerator by adding the exponents: x^(6 + 8) = x^14

Simplifying the denominator, we add the exponents: x^(4 + 4) = x^8

Combining the simplified numerator and denominator, we get the final result:

x^14 / x^8