Question

[(1/3)²-(1/2)³]+(1/4)² Simplify this equation

Answer 1

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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

1² = 1

3² = 9

1³ = 1

2³ = 8

1² = 1

4² = 16

= [1/9 - 1/8]+ 1/16

LCM of 9 * 8  = 72

= [ (8 - 9 )/72]  + 1/16

=  - 1/72 + 1/16

LCM of 72 & 16 = 144

= -2/144 + 9/144

= (9 - 2)/144

= 7/144

[(1/3)²-(1/2)³]+(1/4)² = 7/144

Learn More:

(1/2)⁻² + (1/3)⁻³ + (1/4)⁻²

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