Evaluate -13-23-33-5-2

nbsp; nbsp; nbsp; nbsp;13 nbsp;+ nbsp;23 nbsp;+ nbsp;33 52=1 nbsp;+ nbsp;8 nbsp;+ nbsp;27 52=36 52=6 #215;6 52=62 52=62 #215; 52=6 ...

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Byju's Answer

Standard IX

Mathematics

Conditional Identities

Evaluate (13+...

Question

Evaluate (1³+2³+3³)^-5/2

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Solution

${(1^{3} + 2^{3} + 3^{3})}^{- \frac{5}{2}} = {(1 + 8 + 27)}^{- \frac{5}{2}} = {(36)}^{- \frac{5}{2}} = {(6 \times 6)}^{- \frac{5}{2}} = {(6^{2})}^{- \frac{5}{2}} = {[6]}^{2 \times (- \frac{5}{2})} = {(6)}^{- 5} = {(\frac{1}{6})}^{5} = \frac{1}{7776}$

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Evaluate (13+23+33)-5/2

13 + 23 + 33-52=1 + 8 + 27-52=36-52=6×6-52=62-52=62×-52=6-5=165 = 17776

Evaluate (1³+2³+3³)^-5/2

${(1^{3} + 2^{3} + 3^{3})}^{- \frac{5}{2}} = {(1 + 8 + 27)}^{- \frac{5}{2}} = {(36)}^{- \frac{5}{2}} = {(6 \times 6)}^{- \frac{5}{2}} = {(6^{2})}^{- \frac{5}{2}} = {[6]}^{2 \times (- \frac{5}{2})} = {(6)}^{- 5} = {(\frac{1}{6})}^{5} = \frac{1}{7776}$