Simplify the following expression, and rewrite it in an equivalent form with positive exponents. -15x^4y/17x^2y7
A. -3x^2/y^6 B.3x^2/y^6 C.-3x^6y^8 D. 52x^2/y^6
there is not much you can do with -15/17
put numerator and denominator in parentheses
do you mean y^7 in denominator?
i have to choose ab or c
Well, Look at what you typed. No way anything with 15 in the numerator and 17 (a prime number) in the denominator is going to come out to a b c or d.
You have a mistake or your book has a mistake.
-51x^4y/17x^2y^7
I think its A
Thank you for the 51 instead of the 15
Now you know the correct answer has to start with -51/17 which is -3
x^4/x^2 = x^2
so far
-3 x^2
now y/y^7 = 1/y^6
so in the end
-3 x^2 / y^6
which is
A
To simplify the given expression, we need to combine like terms and rewrite it with positive exponents.
The original expression is: -15x^4y / 17x^2y^7
To simplify the expression, we can divide the coefficients (-15 / 17) and subtract the exponents of each variable (x and y).
Coefficient: -15 / 17
Variable x: x^4 / x^2 = x^(4-2) = x^2
Variable y: y^1 / y^7 = 1 / y^(7-1) = 1 / y^6
Therefore, the simplified expression, with positive exponents, is: (-15/17) * x^2 * (1/y^6)
This can be further simplified as -(15x^2) / (17y^6).
Comparing the simplified expression with the options given:
A. -3x^2/y^6: We can see that this option is different from the simplified expression, so it is not correct.
B. 3x^2/y^6: This option is also not correct as it has a positive sign in front of the expression, while the simplified form has a negative sign.
C. -3x^6y^8: This option is incorrect as it contains different exponents for both x and y when compared to the simplified expression.
D. 52x^2/y^6: This option is also different from the simplified expression, so it is not correct.
The correct answer is -(15x^2) / (17y^6), which is not among the options provided.