Find the value of - -599-3-2-3

( 59)^9 3× 2 3 ⇒ ( 59)^9 6 3 ⇒ ( 59)^6 6 ⇒ ( 59)^o=1 [∵ ( 59)^o=1] ...

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Dividing a Monomial by a Monomial

Find the valu...

Question

Find the value of :
$(\frac{- 5}{9})^{9 - 3 \times 2 - 3}$

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Solution

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\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} . . . . . . . . + \frac{1}{\sqrt{99} + \sqrt{100}}

Find the value of: 1^2-2^2+3^2-4^2+5^2-6^2.... +99^2

\leq

[\frac{2}{3}] + [(\frac{2}{3}) + (\frac{1}{99})] + [(\frac{2}{3}) + (\frac{2}{99})] + \dots \dots + [(\frac{2}{3}) + \frac{98}{99}]

Question 99(i)

Find the value of x, so that
${(\frac{5}{3})}^{- 2} \times {(\frac{5}{3})}^{- 14} = {(\frac{5}{3})}^{8 x}$

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