Precalculus: topic: radical expressions!

[Jazzybell]

Write each with positive exponents. Simplify if possible

1). (-64)^-2/3

2). (-8)^-4/3

 

[Deleted member 4993]

Write each with positive exponents. Simplify if possible

1). (-64)^-2/3

2). (-8)^-4/3

Hint:

(-64) = (-4)³

(-8) = (-2)³

 

[Jazzybell]

Hint:

(-64) = (-4)³

(-8) = (-2)³

Ok im trying Would it be
1
___
4^3

And 1
___
2^3

 

[Deleted member 4993]

Ok im trying Would it be
1
___ .................... No - How did you get that?
4^3

And
1
___ .................... No - How did you get that?
2^3

(-64)^-2/3 = [(-64)^1/3]^-2 = [(-4)³*^1/3]^-2 = [(-4)]^-2 ...... Now continue...

 

[Jazzybell]

(-64)^-2/3 = [(-64)^1/3]^-2 = [(-4)³*^1/3]^-2 = [(-4)]^-2 ...... Now continue...

I'm lost (( I'm taking online classes and I've truly realized that when it comes to math I'm better learning hands on!!

 

[lookagain]

Write each with positive exponents. Simplify if possible

1). (-64)^-2/3

2). (-8)^-4/3

Jazzybell, you posted these without the required grouping symbols around the exponents.

(-64)^-2/3 = [(-64)^1/3]^-2 = [(-4)³*^1/3]^-2 = [(-4)]^-2 ...... Now continue...

The closest the first expression (to the far left) is equal to is \(\displaystyle \ \dfrac{(-64)^{-2}}{3}.\)

(-64)^(-2/3)

I think the trap is when we follow the student's lead of writing the expressions their way.