Question

Evaluate the following​

Answer 1

Answer:

2500/2025 or 100/81 = (1

) 19

/81 (mixed fraction)

Step-by-step explanation:

[(-3)/5] ^-4 x [(-2)/5]^2

Since the power of the (-3)/5 is negative, we have to reciprocal the number to make the power positive. Such as:

[5/(-3)]^4 x [(-2)/5]^2                       (a^(-b) = (1/a)^b)

Now, we have to solve the problem, by the method on how we normally solve it.

[5/(-3)]^4 = 5^4/(-3)^4 = 625/81

and

[(-2)/5]^4 = (-2)^2/5^2 = 4/25

Now, we have to multiply to get the answer. Such as:

625/81 x 4/25 = 2500/2025

OR

100/81 = 1  19

/81 (mixed fraction)

Hope it helps you!