15x to the 8 power x y to the 2nd power divided by 15x to the 6th power y to the 2nd power equals?
15x^8y^2 / 15x^6y^2 = x^2
To solve this equation, you can simplify the expression and then divide the terms. Let's break it down step by step:
First, let's simplify the numerator and denominator separately:
Numerator: 15x^8 * x * y^2
Denominator: 15x^6 * y^2
Now, combine the like terms within the numerator and denominator:
Numerator: 15 * x^(8+1) * y^2
Denominator: 15 * x^(6) * y^2
Now, simplify the exponent of x within the numerator and denominator:
Numerator: 15x^9 * y^2
Denominator: 15x^6 * y^2
Finally, divide the numerator by the denominator:
(15x^9 * y^2) / (15x^6 * y^2)
Since the numerator and denominator have the same base (15) and y^2 terms, they cancel out:
(15/15) * (x^9 / x^6) * (y^2 / y^2)
Simplifying further:
1 * (x^(9-6)) * 1
The final answer is:
x^3