Question

Simplify the expression so there is only one power for each base.

5.6^-5 * 3.4^-7 * 5.6^3 * 3.4^-4

Answer 1

B

Explanation:

Answer 2

For this case we have the following expression:

`5.6 ^ {-5} * 3.4 ^ {-7} * 5.6 ^ 3 * 3.4 ^ {-4}`
What we must do in this case is to observe that we have two different bases:
base 1: 5.6
base 2: 3.4
Therefore, we use the following property:
"in multiplication, when we have the same base the exponents are added".
We have then:

`(5.6 ^ {(- 5 + 3)}) * (3.4 ^ {(- 7 + (- 4))}) (5.6 ^ {(- 5 + 3)}) * (3.4 ^ {(- 7-4)}) (5.6 ^ {-2}) * (3.4 ^ {-11})`
Answer:
The simplified expression is given by:

`(5.6 ^ {-2}) * (3.4 ^ {-11})`