Simplify (x^3 * x^5)/x^2, where x != 0.
Solution
Problem
Simplify (x^3 * x^5)/x^2, where x != 0.
Use the product rule for exponents in the numerator. When multiplying powers with the same base, add the exponents:
x^3 * x^5 = x^(3 + 5) = x^8
Now divide powers with the same base. When dividing, subtract the exponent in the denominator from the exponent in the numerator:
x^8/x^2 = x^(8 - 2)
Simplify:
x^6
The restriction x != 0 remains because the original expression has x^2 in the denominator.
Result
x^6, where x != 0