Exponent Confusion...PLZ ANSWER?

Question

if there is an equation 1hour^2, the answer would be 1 hour because 1*1=1. But if you do 60min^2, it is 3600min, thus making it 60 hours. WHAT IS THE OFFICIALLY CORRECT ANSWER??

oh, ic. 1hr*1hr = 3600min

Answer 1

Well, although you sometimes square time in order to calculate things (like velocity), there really isn't such a thing as a "square minute".

But if there were, then 3600 square minutes would equal a square hour, because (60 min)² = (1 hr)² so 3600 min² = 1 hr².

In the same way that 10,000 square centimeters is a square meter, but 100 centimeters is a meter: (100 cm)² = (1 m)² so 10,000 cm² = 1 m².

Answer 2

This concept is easier to illustrate with linear units of measure. If we use 1 foot and 12 inches instead of 1 hour and 60 minutes we would have 1 foot ^2 = 1 square foot. We would also have 12 inches^2 which is 144 square inches. Picture a square with 12 across the top and 12.

Answer 3

Tho the dimensions of square hours is rather bizarre, what you have shown is that

1 square hour = 3600 square minutes

You're more familiar with length:

1 foot = 12 inches, therefore

1 square foot = 144 square inches

The question isn't WHICH is correct, the question is what units do you want your answer in.

1 dollar = 10 dimes
1 square dollar = 100 square dimes (unusual units for sure, but given the first equality, the second must be equally valid.)

Answer 4

You need to remember that you're squaring the units as well. Hence, (1hr)^2=1hr^2 (the units are hr^2, not hr), and (60min)^2=3600min^2 (again, min^2, not min). The two are equivalent. Hope this helps.

Answer 5

it would be the 60 minutes to 3600 all the 1 in 1 hour is like saying a equals 1 and b equals 2 its just a variable.

Answer 6

Note that 1hour = 60 minutes, so
(1 hour)^2 = (60 min)^2 = 3600 min^2. So 3600 is correct. Just do your dimensions carefully: here you are talking about hours^2 and mins^2, not just hours or minutes.

Answer 7

When you have both a value and unit in a single term, you must square both, not just one. Therefore, (1 hour)^2 becomes 1-squared hour-squared (or one hour-squared). (60 min.)^2 becomes 60-squared minutes-squared (or 3600 minutes-squared).

In order to convert minutes-squared to hours-squared, you must also square the conversion value. So, there are 3600 (60-squared) minutes-squared in one hour-squared. You cannot convert minutes-squared directly to hours, because you're dropping an exponent.

Answer 8

Easy use logs, Log base 4k+4K, 4 then that equals log base 4k+4k to the x over 2 is equal to two. You could use base change to simplify it further but I dunno how simplified you want it. Dude you asked to simplify it and I used my knowledge in calculus. This is the calculus method of simplifying exponents. Logs are exponents or at least have similar traits.

Answer 9

1hour=60min then (1hour)^2=(60min)^2 it means 1hour^2=3600min^2 then you see there is actually no confusion

Answer 10

You can't square time.

Acceleration is measured as distance per second per second, and is sometimes refered to as distance per seconde squared, but this is not squaring time.