Question

by what should (3/2)^-3 be divided so that quotient may be (4/27)^-2

Answer 1

Remember these things :

Firstly we have to chenge this numbers exponent in positive like this (2/3)^3. There are two ✌️ formulas to make exponent positive : A^-m = 1/a^m this is only for used when we have single digit when we have fractions so we use this formula (a/b) = (b/a) means we oppiste the fraction. Plz remember these formula to make exponent positive.

Now, we solve this :

Let the number be X

X ➗ (2/3)^3 = (27/4)^2

X = (27/4)^2 ✖ (2/3)^3

Now we multiply these like this type :

X = 729/16 ✖ 8/27

X = 729/2 ✖ 1/27

X = 729/54

X = 243/18

X = 81/6

X = 27/2

So the number is 27/2

HOPE IT HELPS TO YOU FRIENDS