Determine the value of the variable in each expression. What is the value of m in the quotient of powers StartFraction 9 Superscript negative 3 Over 9 squared EndFraction = StartFraction 1 Over 9 Superscript m EndFraction? options: -5 -1 1 5 What is the value of n in the quotient of powers StartFraction x Superscript negative 4 Over x Superscript negative 6 EndFraction = x Superscript n options: -10 -2 2 10 What is the value of c in the quotient of powers StartFraction (negative 11) Superscript 7 Over (Negative 11) Superscript 0 EndFraction = (Negative 11) Superscript c options: -7 0 -6 7

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

other answer is correct. i had used the radius of the radius somehow. a website:

hello! just here for points! though i wish i knew!

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb