(243)⅖ /(32)-⅖/(16/81)-¾
Answers
Answer:
2/3
Step-by-step explanation:
given,
[(243)^2/5]/[(32)^-2/5]/[(16/81)^-3/4]-----("^" indicates power)
here, lets solve the given terms seperately like,
i) 243^2/5=(3^5)^2/5 [since 3^5=243]
=3^5*2/5-------("*" indicates multiplication)[so in this step we
multiplied 2/5 by 5 that equals to 2)
=3^2
=9
ii) 32^-2/5=(2^5)^-2/5
=2^5*-2/5
=2^-2
=1/4 [since 2^-2 = 1/4]
iii)(16/81)^-3/4=(2^4/3^4)^-3/4
=(2/3)^4*-3/4
=(2/3)^-3
=(3/2)^3
=27/8
Now lets divide {i/ii/iii}=>(i*iii/ii)
=>(9*1/4)/27/8
=>9*8/27*4
=>2/3
Answer:
= > ( 16 / 18 ) x ( 243 / 32 )
= > 16 / 18 = 1 / 1
= > 243 / 32 = 3 / 2
= > 3 / 2
Step-by-step explanation: