TI-83 Plus No Longer Squares Correctly

well,

I really don't like to tell this to you but the Ti-84 plus will not display a square root as an answer, it will always return answers in decimal form. The best way for you to simplify roots is by using a factor tree and knowing your squares up to 30. I went through all of that using a ti-83 plus so I completely understand your desire for it to show a root, it just won't. I really wish you the best with this problem, but having read the owners manual for it, I just don't see any other way to do it.

If you're pressing the keys
(-) 1 0 5 ^ 2 ENTER
then you're not squaring a negative number, you're negating a square. This sequence of keystrokes calculates -(105^2), and -11025 is the correct answer for this.

Since the ^ operator binds more tightly than the (-) operator, you need to tell the calculator you want to override the order of operations, just as you would if you wanted an addition done before a multiplication. Press
( (-) 1 0 5 ) ^ 2 ENTER and you will see the expected result.

The square root of a negative number does not exist in lR, the set of real numbers.
In the set of Complex numbers the square root of -49/64 is (7/8)i, where i is the imaginary unit defined by i^2=-1.

You're not squaring a negative number, you're negating a square. What you need to do is calculate (-2)^2 instead of the -(2^2) you're now calculating.

You're both right, in a way. (-64)^3 is -262144. The square root of that is +/- 512i. Take your choice as to the sign.

For what it's worth, the TI-84, TI-86, TI-89, and the HP 50g all go with the negative value.

This is correct. The negative of two-squared is -4.

Exponentiation binds more tightly than negation. If you want (negative 2) squared, you have to express it that way:

( [-] 2 ) ^ 2

Hello,
What you are calculating is -1 times 5^2 which is -1*25=-25.
If you want to calculate the square of -5 you enclose it between parentheses.

Reason

There are two operations: the power and the negation and the power has priority. Thus 5^2 is calculated first, then its negative is taken.
If you put it inside parentheses, the () has priority. The negative of 5 is taken first, then the result is squared giving 25.

(-5)^2=25.
Hope it helps.

Place both the base and the exponent in parentheses

(3/4)^(-2) then press enter. Your answer will be in decimal form at first 1.777...

Press MATH
Select the 1: Fraction option and it will convert your decimal value to the fraction answer of 16/9.

Negative exponents flip the fraction. For instance, (3/4)^(-1) = 4/3. So for (3/4)^(-2) you could just square the numerator and denominator separately to get 9/16, and then flip the fraction to account for the negative. That will give you 16/9.

If you want the answer in rectangular form, set MODE a+bi and tap ENTER and QUIT. Tap square root sign, tap (-)4 and close the parenthesis and tap ENTER. The answer is shown as 2i.
If you want the answer in polar form, set MODE to re^xi and and DEGREE. Tap ENTER and QUIT. Tap the square root sign, tap (-)4, close the parenthesis, and tap ENTER. The answer shown is 2e^90i. (2 at ninety degrees). If you selected RADIAN mode, the answer would be 2e^1.57i (2 at 1.57 radians; or 2 at pi/2 radians)

Your calculator will square a number before it applies the negative sign, so what you're actually doing is squaring 2, then applying the - sign to your answer. You need to put the -2 in parenthesis, so (-2)^2. That will give you 4. Hope this helps!