Question

Simplify : [{(- 3/4) -²}^ -5 ] -²​

Answer 1

Answer:

(-3/4)^-2×-5×-2

= (-3/4)^-20

= (-4/3)^20

= (4/3)^20

Long Answer Process -

[{(-3/4)^-2}^-5]^-2

= [{(-4/3)^2}^-5]^-2

= [{16/9}^-5]^-2

= [{9/16}^5]^-2

= [9^5/16^5]^-2

= [16^5/9^5]^2

= 16^10/9^10

= (4/3)^20

Step-by-step explanation:

There are certain laws of exponents used particularly in this question.

Exponents of powers: If there are powers of exponents of a number, then we multiply all the powers and that becomes the exponent of the number.

Negative of powers: If we have a negative exponent of any number, so as to remove the minus sign, we have to reciprocate the number.