Question

simplify (-1/27)^-2/3​

Answer 1

Answer:

9

Step-by-step explanation:

(-27)^2/3

(-3^3)^2/3

(-3)^2

9

Answer 2

Explanation:

Using these rules for exponents we can rewrite the expression as:

(

x

a

)

b

=

x

a

×

b

1

x

a

=

x

−

a

(

1

27

)

1

3

×

−

2

⇒

(

(

1

27

)

1

3

)

−

2

⇒

(

1

1

3

27

1

3

)

−

2

⇒

(

1

3

)

−

2

⇒

1

−

2

3

−

2

⇒

1

3

−

2

⇒

3

−

−

2

⇒

3

2

⇒

9