i have a quick question...
-3^2
(-3)^2
wat is the difference???
also...
-3^3
(-3)^3
help me plz...thx if u do
also...wat if its like -(-5)^2
- 3^2 = - 3*3 = -9
(-3)^2 = -3 * -3 = +9
- 3^3 = - 3*3*3 = -27
(-3)^3 = -3 * -3 * - 3 = -27
(-5)^2 = 25
so
- (-5)^2 = -25
Do everything inside parentheses before doing anything else.
in the first, -3^2 is ambigous. IT could mean -9 (the negative of three squared) or 9 (negative three squared).
On the second, in either case it is -9
on the last, -(-5^2)=- 25
oh ok...thank u for the help
:)
thnx 4 the help....
:)
Sure, I'd be happy to help explain the difference!
In mathematics, when you have an exponent, it indicates how many times a number is multiplied by itself. In these cases, we have negative numbers raised to a power.
Let's break it down:
1. -3^2:
In this expression, the negative sign applies only to the 3 and not the exponent. So, -3^2 means -1 times 3 squared.
To calculate this, first square the 3, which gives you 9. Then, multiply the result by -1 to get -9. So, -3^2 is equal to -9.
2. (-3)^2:
In this expression, the parentheses indicate that the base number (-3) should be squared, rather than the exponent. So, (-3)^2 means -3 times -3.
To calculate this, multiply -3 by -3, which gives you 9. So, (-3)^2 is equal to 9.
Therefore, the main difference between -3^2 and (-3)^2 is the placement of the parentheses. In the first case, the exponent applies only to the positive 3, whereas in the second case, the exponent applies to the negative 3 itself.
Now, let's move on to -3^3 and (-3)^3:
3. -3^3:
Similar to the first case, the negative sign only applies to the 3, not the exponent. So, -3^3 means -1 times 3 cubed.
To calculate this, first cube the 3, which gives you 27. Then, multiply the result by -1 to get -27. So, -3^3 is equal to -27.
4. (-3)^3:
Again, the parentheses indicate that the base number (-3) should be cubed, rather than the exponent. So, (-3)^3 means -3 times -3 times -3.
To calculate this, multiply -3 by -3 three times, which gives you -27. So, (-3)^3 is equal to -27.
In summary, the placement of parentheses can make a significant difference in the result when dealing with negative numbers raising to a power.