Which of the following is equivalent to x^5 y^2/xy^2 when =/ 0 and y =/ 0 ? (1 point)
A.) X^6 Y^5
B.) X^5 Y
C.) X^4 Y
D.) X^4
I don't even have a good guess.
Thank you.
D. x^4.
Just took this.
Thank you. is there anyway i can get the rest of the answers.
To simplify the expression x^5 y^2 / xy^2, we can apply the quotient rule of exponents. According to the rule, when dividing two quantities with the same base, we subtract the exponents. In this case, the base is x and the exponents are 5 and 1. So, x^5 / x^1 can be simplified to x^(5-1) which equals x^4.
Next, we divide y^2 by y^2. Using the same rule, y^2 / y^2 simplifies to y^(2-2) which equals y^0. Any number raised to the power of 0 is 1. Therefore, y^0 equals 1.
Now, we have x^4 and 1 as the simplified terms. To combine them, we multiply them together. Multiplying any number by 1 does not change the value of the number. Therefore, x^4 * 1 equals x^4.
So, the equivalent expression to x^5 y^2 / xy^2 is x^4. Therefore, the answer is D.) X^4.