For this case we have the following expression:
[tex]5.6 ^ {-5} * 3.4 ^ {-7} * 5.6 ^ 3 * 3.4 ^ {-4}
[/tex]
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:
[tex](5.6 ^ {(- 5 + 3)}) * (3.4 ^ {(- 7 + (- 4))})
(5.6 ^ {(- 5 + 3)}) * (3.4 ^ {(- 7-4)})
(5.6 ^ {-2}) * (3.4 ^ {-11})[/tex]
Answer:
The simplified expression is given by:
[tex](5.6 ^ {-2}) * (3.4 ^ {-11})[/tex]
