Question

c. Solve this power equation (with rational exponents):

Answer 1

\[2y ^{-\frac{ 2 }{ 3 }}-5y ^{-\frac{ 1 }{ 3 }}-7=0\]

Answer 2

\[\frac{ 2 }{ y^{2/3} }-\frac{ 5 }{ y^{1/3}}-7=0\]

Answer 3

multipliny both side by Y^(2/3)

Answer 4

\[2-5*y^{1/3}-7*y^{2/3}\]

Answer 5

=0

Answer 6

now take y=t^3

Answer 7

\[2-(t^3)^{1/3}-7(t^3)^{2/3}=0\]

Answer 8

2-t-7t^2=0

Answer 9

multipliny by -1

Answer 10

7t^2+t-2=0

Answer 11

solve it now

Answer 12

sorrt there will 5 with t i forget

Answer 13

7t^2+5t-2=0
7t^2+7t-2t-2=0
7t(t+1)-1(t+1)=0
(t+1)(7t-1)=0
t=-1
t=-7/3

Answer 14

but y=t^3
y=-1
y=(-7/3)^3=-343/27