Evaluate-i 4-3ii 12-5iii 43-3iv -3-4v - 23-5

(i) 4 3=143=164 (ii) 12 5=25=32 (iii) 43 3=343=3343=2764 (iv) 3 4= 134=( 1)434=181 (v) 23 5= 325= 3525= 24332 ...

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Byju's Answer

Standard VIII

Mathematics

Division of Negative Numbers

Evaluate:i 4-...

Question

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

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Solution

(i) $4^{- 3} = \frac{1}{4^{3}} = \frac{1}{64}$

(ii) ${(\frac{1}{2})}^{- 5} = 2^{5} = 32$

(iii) ${(\frac{4}{3})}^{- 3} = {(\frac{3}{4})}^{3} = \frac{3^{3}}{4^{3}} = \frac{27}{64}$

(iv) ${(- 3)}^{- 4} = {(\frac{- 1}{3})}^{4} = \frac{(- 1)^{4}}{3^{4}} = \frac{1}{81}$

(v) ${(\frac{- 2}{3})}^{- 5} = {(\frac{- 3}{2})}^{5} = \frac{{(- 3)}^{5}}{2^{5}} = \frac{- 243}{32}$

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$(i) 1 \div \frac{1}{3} (i i) 3 \div \frac{3}{5} (i i i) - \frac{5}{12} \div \frac{1}{16} (i v) - \frac{21}{16} \div (\frac{- 7}{8}) (v) 0 \div (- \frac{4}{7}) (v i) \frac{8}{- 5} \div \frac{24}{25} (v i i) - \frac{3}{4} \div (- 9) (v i i i) ‘ \frac{3}{4} \div (- \frac{5}{12}) (i x) - 5 \div (- \frac{10}{11}) (x) \frac{- 7}{11} \div (\frac{- 3}{44})$

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Evaluate: (i) 4−3 (ii) 12-5 (iii) 43-3 (iv) -3-4 (v) -23-5

(i) 4-3=143=164 (ii) 12-5=25=32 (iii) 43-3=343=3343=2764 (iv) -3-4=-134=(-1)434=181 (v) -23-5=-325=-3525=-24332

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