Maths / Exponents and Power / Law 2 Division of Exponents

QUESTION
 

Find the value of the following: large (frac{-3}{5})^4X(frac{4}{9})^4X(frac{-15}{18})^2

OPTIONS
A. 

64/125

B. 

64/1825

C. 

64/3125

D. 

64/18225

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

large (frac{-3}{5})^4X(frac{4}{9})^4X(frac{-15}{18})^2

large (frac{-3}{5})^4X(frac{2^2}{3^2})^4X(frac{-3X5}{9X2})^2

large (frac{-3}{5})^4X(frac{2}{3})^8X(frac{-3^2X5^2}{3^4X2^2})

large (frac{3}{5})^4X(frac{2}{3})^8X(frac{3^2X5^2}{3^4X2^2})  As Multiplication of two negative terms give positive

large (frac{3^-^6}{5^4})X{2^8}X(frac{5^2}{2^2})

large {3^-^6}X{2^6}X{5^-^2}

large frac{2^6}{{3^6}times{5^2}}

large dpi{120} fn_jvn large frac{64}{729times25}

large frac{64}{18225}

 

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