1 divided by a number with an exponent is the same as the number to the exponent of opposite sign. For example 1 divided by 2 to the third power is the same as 2 to the minus 3 power
No.
Dividing exponents is just subtracting the numerator exponent and the denominator exponent. For example, 3^4 / 3^2 = 3^2. *The division sign is just like a giant subtraction sign** That will help you to remember this rule. So how about x^12 / x^5? its x^7!
Move the base number to the 'other side" of a division bar and change the exponent to the opposite sign. Example: 1/9 = 3^-2 becomes 1/(3^2) or 4 = 1/ (2^-2) becomes 2^2. Try it on your calculator to check your work.
If you mean the ADDITIVE INVERSE, change the minus sign to a plus sign. (And if you see a plus sign, you change it to a minus sign.)
x2 + 3x + 4 This is quadratic because the highest exponent of x is 2, and it is an expression because there is no equals sign.
The rule that allows us to change the sign of an exponent is called the "negative exponent rule." This rule states that for any non-zero number ( a ) and integer ( n ), ( a^{-n} = \frac{1}{a^n} ). Essentially, a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.
No.
The sign doesn't change.
Dividing exponents is just subtracting the numerator exponent and the denominator exponent. For example, 3^4 / 3^2 = 3^2. *The division sign is just like a giant subtraction sign** That will help you to remember this rule. So how about x^12 / x^5? its x^7!
Flip the fraction top-to-bottom, and delete the minus sign from the exponent.
Move the base number to the 'other side" of a division bar and change the exponent to the opposite sign. Example: 1/9 = 3^-2 becomes 1/(3^2) or 4 = 1/ (2^-2) becomes 2^2. Try it on your calculator to check your work.
The exponent is an unknown variable. It is a variable because it will change into a known number when we get further into the equation. Take this for example. 4x=8 - where x is the exponent. To work out the problem we simply move the 4 over the equal's sign. Since it is 4x, this means that it is 4 times x. Since we are moving the 4 over the equals sign, we have to change the multiplication, into a division. x=8/4 which equals 2. The x is a 2. To check, we we substitute the 2 with the x in the equation. 4x2=8, which is correct.
shift then 6 at the same time
You fail SO badly. If we have x^4, the 4 is the exponent- the power to which a number is raised. It can be positive or negative.
To predict whether a power will be negative or positive, examine the base and the exponent. If the base is positive, any exponent—whether positive or negative—will yield a positive result. Conversely, if the base is negative, an even exponent results in a positive value, while an odd exponent produces a negative value. Thus, the sign of the power depends on both the sign of the base and whether the exponent is odd or even.
The exponent "2" as in a number squared, e.g. cm2 or in2
The sign of the exponent for a number written in scientific notation depends on whether it is a whole number or a fraction. 40 is 4 x 101 0.4 is 4 x 10-1