Question

how do you solve this equation?

(x+2)^(-1/6) -5= -7?

Please I have my midterm tomorrow!!

Answer 1

is that written correctly ...^(-1/6) ?

Answer 2

yup, the exponent is -1/6

Answer 3

the teacher gave us an answer packet and said that this answer is -127/64 but I don't understand how she got that

Answer 4

ok give me a sec

Answer 5

Use PEMDAS

Answer 6

I understand that you have to use PEMDAS, you do for most math equations...

Answer 7

I kept getting -62 for some reason

Answer 8

Remove negative exponents in the expression 1/(x+2)^1/6

1/(x+2)^1/6 -5 = -7

-5 does not contain the variable to solve so move it to the right hand side of the equation by adding 5 to both sides
Subtract 7 from 5 to get -2
1/(x+2)^1/6 = -2
the variable is in the denominator so solve as a ratio
1/-2=(x+2)^1/6

switch the sides so X is on the left-hand side of the equation

(x+2)^1/6=1/-2

Move the minus sign to the front of the expression

Raise each side of the equation to the 6 power to eliminate the fractional exponent

((x+2)^1/6)^6=(-1/2)^6

Now solve for X
X=-127/64

Answer 9

hope that helped

Answer 10

thank you so much!!!!!

Answer 11

ur welcome are you good at geo?

Answer 12

im okay

Answer 13

do you have a question?