Simplify (x^4/x^2)×(x^8/x^8)
To simplify this expression, we can combine the expressions by multiplying the numerators together and multiplying the denominators together separately.
(x^4/x^2) × (x^8/x^8) = x^(4+8)/x^(2+8)
Simplifying the powers of x, we get:
= x^12/x^10
Since the bases (x) are the same, we can subtract the exponents:
= x^(12-10)
= x^2
Therefore, the simplified expression is x^2.
To simplify this expression, we can cancel out the common factors in the numerator and the denominator.
First, let's simplify the numerator:
x^4 ÷ x^2 = x^(4-2) = x^2
Now, let's simplify the denominator:
x^8 ÷ x^8 = x^(8-8) = x^0
Any non-zero number raised to the power of 0 is equal to 1. So, x^0 = 1.
Therefore, the simplified expression is x^2/1, which is just x^2.