Question

PLZ HELP ME what is the value of y^-5 / x^-3 for x=2 and y =-4 a)-1/128 b)10/3 c) -128 d) 128

Answer 1

Write in exponential form,

`- ( {2}^(2) ) ^( - 5) / {2}^( - 3)`
Simplify the expression,

`{ - 2}^(10) / {2}^( - 3)`
Calculate the quotient,

`{ - 2}^( - 7)`
Express with a positive exponent,

`- \frac{1}{ {2}^(7) }`
Evaluate the power,
-1/128
Or - 0.0078125
Your answer is A.

Answer 2

1st, substitute x and y with 2 and -4, which'd be
`(-4^(-5))/(2^(-3))`.
Then, simplify, to get
`-(1)/(128)`.
This would be -0.0078125 in decimal form, or - 1/128 in fraction form.

Hope this helps! ^^