Question

simplify {(3)^-1÷(2)^-1}^3

in steps​

Answer 1

Answer:

8/27(you can convert it to decimal)

Step-by-step explanation:

{(3)^-1÷(2)^-1}^3

(1/3 ÷ 1/2)^3

(2/3)^3

8/27

Answer 2

Answer:

Exact form : 8/27

Decimal form : 0.296296...

Step-by-step explanation:

{(3)^ -1 ÷ (2)^ -1} ^3

Rewrite the division as a fraction

{(3)^ -1/(2)^ -1} ^3

Move (3)^ -1 to the denominator using the negative exponent rule b^ -n = 1/b^n

{1/(2) ^-1 × 3}^3

Move (2) ^-1 to the denominator using the negative exponent rule b^ -n = 1/b^n

(2/3)^3

Apply product rule to 2/3

2^3/3^3

Raise 2 to the power of 3

8/3^3

Raise 3 to the power of 3

8/27

The result can be shown in multiple forms :

Exact form : 8/27

Decimal form : 0.296296...

(if you find any error in my answer or have a doubt about the answer please comment I will try my best to help you)