Question

simplify and express each as a rational number. (4/3)^-3 x (4/3)^-2​

Answer 1

Answer:

Solution

We have,

={−3

3 /4

3 )−(5

3 /2

3 )}×16

={(−27/64)−(−125/8)}×16

First we find the difference of {(−27/64)−(125/8)}

LCM of 64 and 8 is 64

⇒(−27×1)/(64×1)=(−27/64)

and ⇒(125×8)/(8×8)=(1000/64)

Now,

=(1000−(−27))/64

=(1000+27)/64

=(973/64)

So,

=(973/64)×16

=(973/4)