Simplify -4 MARKS-5-8-7-8-5-5

Concept : 1 Mark Application : 1 Mark Calculation : 2 Marks ( 5/8 )^ 7× ( 8/5 )^ 5 =5^ 7/8^ 7×8^ 5/5^ 5 =5^ 7/5^ 5×8^ 5/8^ 7 =5^( 7) ( 5)× 8^( 5) ( 7) =5^ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Exponents with Like Bases

Simplify [4 M...

Question

Simplify [4 MARKS]

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

Open in App

Solution

Concept : 1 Mark
Application : 1 Mark
Calculation : 2 Marks

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

$= \frac{5^{- 7}}{8^{- 7}} \times \frac{8^{- 5}}{5^{- 5}}$

$= \frac{5^{- 7}}{5^{- 5}} \times \frac{8^{- 5}}{8^{- 7}}$

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

$= 5^{- 2} \times 8^{2} = \frac{8^{2}}{5^{2}} = \frac{64}{25}$

Suggest Corrections

Similar questions

Q. Simplify: [4 MARKS]

i)

{(\frac{5}{8})}^{- 7} \times {(\frac{8}{5})}^{- 5}

ii)

\frac{(2^{5})^{2} \times 7^{3}}{8^{3} \times 7}

Simplify : [3 MARKS]

$\frac{3^{8} \times 4^{5} \times 3^{2} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}$

Simplify : ${(\frac{5}{8})}^{- 7} \times {(\frac{8}{5})}^{- 4}$

Simplify: $\frac{8^{4} \times 14^{3} \times 5 \times 3^{4}}{4^{5} \times 7^{3} \times 6^{2}}$ [3 MARKS]

Simplify $\frac{8^{4} \times 14^{3} \times 5 \times 3^{4}}{4^{5} \times 7^{3} \times 6^{2}}$ [3 MARKS]

Join BYJU'S Learning Program

Simplify [4 MARKS] (58)−7×(85)−5

Concept : 1 Mark Application : 1 Mark Calculation : 2 Marks (58)−7×(85)−5 =5−78−7×8−55−5 =5−75−5×8−58−7 =5(−7)−(−5)×8(−5)−(−7) =5−2×82=8252=6425

Simplify [4 MARKS]

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