Find the value of the following expression:

Question

(2^8 x 5^-5 x 19^0)^-2 x (5^-2/ 2^3)^4 x 2^28

Can someone show me the steps on how to solve this?

Answer 1

Step 1:

2^16 * 5^-10 * 19^0 * (5^-8/2^12) * 2^28

note: anything to the 0 power is 1 so 19^0 = 1

2^-16 * 5^10 * (5^-8/2^12) * 2^28

Step 2: combined liked terms

note: anything power in the denominator can be written as a non fraction by changing the power sign to negative

2^-16 * 2^28 * 2^-12 = 2^0 = 1

5^10 * 5^-8 = 5^2

So:

1 * 5^2 = 25