Evaluate-i 13 -1 - 14 -1ii 58 -7- 85 -4

(i) (13 )^ 1 (14 )^ 1 #160; #160; #160; #160; #160; #160;= [3 4]^ 1 = ( 1) #160; (ii) (58 )^ 7× (85 )^ 4 #160; #160; #16 ...

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Byju's Answer

Standard VIII

Mathematics

Random Interesting Patterns Followed by Square Numbers

Evaluate:i ...

Question

Evaluate:
(i) ${(\frac{1}{3})}^{- 1} - {(\frac{1}{4})}^{- 1}$
(ii) ${(\frac{5}{8})}^{- 7} \times {(\frac{8}{5})}^{- 4}$

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Solution

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

$= [3 - 4]^{- 1} = (- 1)$
(ii) ${(\frac{5}{8})}^{- 7} \times {(\frac{8}{5})}^{- 4}$

$= {(\frac{8}{5})}^{7} \times {(\frac{5}{8})}^{4}$

$= \frac{512}{125}$

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Evaluate (i) ${(\frac{1}{3})^{- 1} - (\frac{1}{4})^{- 1}}^{- 1}$ (ii) $(\frac{5}{8})^{- 7} \times (\frac{8}{5})^{- 4}$

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