Evaluate- i-5-2-ii-3-2-iii- 1-3 -4-iv- -1-2-1

(i) 5^ 2=1/5^2=1/5 × 5=1/25 (ii) ( 3)^ 2=1/( 3)^2=1/( 3)× ( 3)=1/9 (iii) ( 1/3 )^ 4= ( 3/1 )^4=3 × 3 × 3 × 3=81 (iv) ( 1/2)^ 1=( 2)^1= 2 ...

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Evaluate: i ...

Question

Evaluate:

$(i) 5^{- 2} (i i) (- 3)^{- 2} (i i i) {(\frac{1}{3})}^{- 4} (i v) {(\frac{- 1}{2})}^{- 1}$

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Solution

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Evaluate:
(i) $5^{- 2}$
(ii) $(- 3)^{2}$
(iii) $(\frac{1}{3})^{- 4}$
(iv) $(\frac{- 1}{2})^{- 1}$

a_{1} = - 1, a_{n} = \frac{a_{n} - 1}{n}, n \geq 2

n = 4, l = 2, m_{l} = - 2, m_{s} = - 1 / 2

n = 3, l = 2, m_{l} = 1, m_{s} = + 1 / 2

n = 4, l = 1, m_{l} = 0, m_{s} = + 1 / 2

n = 3, l = 1, m_{l} = 1, m_{s} = - 1 / 2

(4 + \sqrt{7}) (3 + \sqrt{2})

(3 + \sqrt{3}) (5 - \sqrt{2})

(\sqrt{5} - 2) (\sqrt{3} - \sqrt{5})

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