For this case we have the following expression:
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents, that is:
So:
Answer:
First way 56/110
Second Way 28/55
The division between two numbers is positive if and only if they have the same sign. So, this fraction is positive if numerator and denominator are either both positive or both negative.
For this reason, you want to study the sign of numerator and denominator separately first.
As for the numerator, you have
Similarly, for the denominator you have
(note that we used strict inequality for the denominator, since it can't be zero).
So, the sign of the fraction works like this:
- If both numerator and denominator are negative (or, at most, the numerator is zero if ), so the ratio is greater than or equal to zero.
- If the numerator is positive and the denominator is negative (or, at most, the numerator is zero if ), so the ratio is less than or equal to zero.
- If both numerator and denominator are positive, so the ratio is greater than or equal to zero.
Answer:
The exponential function represents growth, the percentage rate of increase is 7.8 %
Step-by-step explanation:
Please see the attachment.
The exponential function represents growth, the percentage rate of increase is 7.8 %
Antonio runs 1,460 miles in one year