Question

What is the simplified expression for 5^-3 x 2^2 x 5^6 / 2^3 x 5^2 1) 2^2/5^2 2) 5/2^2 3) 5/2 4) 5^2/2

1) 2^2/5^2
2) 5/2^2
3) 5/2
4) 5^2/2

Answer 1

It’s 3) 5/3
Step-by-step explanation:

5^-3 x 2^2 x 5^6
_____________

2^3 x 5^2

Now workout the numerator and the denominator.
Multiplication means add the indices.
Same denominators so add up the indices, 5^-3 x 5^6 –> -3 + 6 = 3

5^3 x 2^2
________

2^3 x 5^2

Divide means take the indices away.(Same base number only)
5^3 divided by 5^2 —> 3-2 = 1
5^1 = 5

2^2 divided by 2^3 —> 2-3 = -1
2^-1 = 1/2 or 0.5
Then the answer is 5/0.5 which is 2.5
And 5/2 is equal to 2.5 so it must be number 3

Answer 2

Its: 3) 5/2

Step-by-step explanation:

too complicated