Simplify (x^8/x^2)×(x^8/x^4)

Answer 1

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.