Question #bb651

1 Answer
Mar 23, 2016

((9/16)^-3)/2=2^11/3^6(916)32=21136

Explanation:

You have to rember the Negative Exponents proprerties

a^-n=1/(a^n)an=1an

therefore:

((9/16)^-3)/2=1/(9/16)^3times1/2=1/(9^3/16^3)times1/2=16^3/9^3times1/2=(916)32=1(916)3×12=193163×12=16393×12=

=(2^4)^3/(3^2)^3times1/2==(24)3(32)3×12=

Using the properties

(a^n)^m=a^(ntimesm)(an)m=an×m

a^n/a^m=a^(n-m)anam=anm

=2^12/3^6times1/2=2^(12-1)/3^6=2^11/3^6=21236×12=212136=21136