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Q: What rule allows us to change the sign of an exponent?

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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!

You change the sign of the exponent. For example, the reciprocal of 2 to the power 8 is 2 to the power -8. Alternately, you can change the whole expression to the denominator. In this case, the reciprocal of 2 to the power 8 is 1 divided by (2 to the power 8).

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.

Additive inverse means that you are supposed to change the sign:* If there is a plus sign (or no sign at all), change it to a minus. * If there is a minus sign (as in this case), change it to a plus (or no sign).

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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.

You change the sign of the exponent. For example, the reciprocal of 2 to the power 8 is 2 to the power -8. Alternately, you can change the whole expression to the denominator. In this case, the reciprocal of 2 to the power 8 is 1 divided by (2 to the power 8).

change the sign, but DONT switch the coordinates (:

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.

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.

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

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