Question

Can someone help me asap please?!?!?!?

Compute 3/4*8/9*15/16*24/25*35/36*48/49*63/64*80/81*99/100

Answer 1

assuming you mean something like

`((3)/(4))((8)/(9))((15)/(16))((24)/(25))((35)/(36))((48)/(49))((63)/(64))((80)/(81))((99)/(100))`

so

remember
`((a)/(b))((c)/(d))=(ac)/(bd)`
so

`((3)/(4))((8)/(9))((15)/(16))((24)/(25))((35)/(36))((48)/(49))((63)/(64))((80)/(81))((99)/(100))=`

`((3)(8)(15)(24)(35)(48)(63)(80)(99))/((4)(9)(16)(25)(36)(49)(64)(81)(100))`
factor out some things

`((3)(2^3)(3)(5)(2^3)(3)(5)(7)(2^4)(3)(3^2)(7)(2^4)(5)(3^2)(11))/((2^2)(3^2)(2^4)(5^2)(2^2)(3^2)(7^2)(2^6)(3^4)(2^2)(5^2))=`

`((2^(14))(3^8)(5^3)(7^2)(11))/((2^(16))(3^8)(5^4)(7^2))=`

`(11)/((2^2)(5^1))=(11)/(20)`