Question

simplify {(1/3) ¯²(1/2)¯³}÷(1/4)¯².
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Answer 1

Answer:

9/2

Step-by-step explanation:

{(1/3) ¯²(1/2)¯³}÷(1/4)¯²

{(1 / (1 / 3)²) (1 / (1 / 2)³)} ÷ (1 / (1 / 4)²)

3² x 2³ ÷ 4²

9 x 8 / 16

9/2

Answer 2

Given :  

[(1/3)⁻²-(1/2)⁻³] ÷ (1/4)⁻²

To Find :

Simplify

Solution

[(1/3)⁻²-(1/2)⁻³] ÷ (1/4)⁻²

(a/b)ⁿ = aⁿ/bⁿ

aⁿ = 1/a⁻ⁿ

= [(3/1) ²-(2/1) ³] ÷ (4/1)²

3² = 9

1² = 1

2³ = 8

1³ = 1

4² = 16

= [ 9 -  8] ÷   16

= 1   ÷   16

= 1/16

[(1/3)² - (1/2)³] ÷ (1/4)² = 1/16

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