1. Which of the following is equivalent to x^5y^2/xy^2 when x not= 0 and y not= 0?
a. x^6y^5
b. x^5y
c. x^4y
d. x^4
d. x^4
you can divide the expression into: (x^5 / x) * (y^2 / y^2).
x^5 / x = x^4
y^2 / y^2 = 1
and x^4 * 1 = x^4.
hope you understand it better now...it takes practice for exponents to become easy peasy pumpkin peasy pumpkin pie (get the reference? XD)
:)
OMG thank you for you help!!!
btw every single time i come up with a question and post it on here i always get comments about My Chemical Romance lol
which i don't know how you guys know that that's my fav band lol i LOVED that phrase that he used lol.
Thanks for your help =)
@Geesus Good to know lol hello!!
To simplify the expression x^5y^2/xy^2, we can first use the properties of exponents. When we divide two terms with the same base, we subtract the exponents. Similarly, when we divide two terms with the same exponent, we subtract the bases.
In this case, we have x^5 in the numerator and x in the denominator. Since the bases are the same (x), we subtract the exponents, giving us x^(5-1) = x^4.
Next, we have y^2 in the numerator and y^2 in the denominator. Again, the bases are the same (y), so we subtract the exponents, resulting in y^(2-2) = y^0.
Any number (except zero) raised to the exponent of zero is always equal to 1. Therefore, y^0 = 1.
Now we can rewrite the expression: x^4 * 1 = x^4.
Hence, the answer is d. x^4.