Question

(4/5) ^2 × 5^4 ×2/5^-5÷5/2^-3​

Answer 1

Answer:

610351.563

Step-by-step explanation:

Solving by rule of BODMAS

Steps involve

1 Braket ( )

2 of

3 Division ÷

4 Multiplication ×

5 Addition +

6 Subtraction -

(4/5)^2 = 16/25

5^4= 5×5×5×5 = 625

(2/5)^-5 = (5/2)^5 = 3125/32

(5/2) ^-3= (2/5)^3 = 8/ 125

So above question can be written as:

(16/25) × 625× (3125/32) ÷ (8/125)

We can change ÷ into × reciprocating the fraction.

(16/25) × 625 × (3125/32) × (125/8)

On solving this we get 610351.563