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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

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10y ago

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What is the rule which allows us to change the sign of an exponent is called?

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.


When rewriting an exponential expression with a negative exponent and a positive base to an expression containing only a positive exponent does the sign of the base change?

No.


Why doesn't a negative exponent make the answer negative?

A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. For example, ( a^{-n} ) is equivalent to ( \frac{1}{a^n} ), which does not inherently change the sign of the base. The base itself determines the sign; thus, if the base is positive, the result will be positive, and if it's negative, the result will be negative, regardless of the exponent's sign.


What is the rule for adding two numbers whose sign are alike?

The sign doesn't change.


How do you divide exponents?

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!


What if the problem is a fraction with a negative exponent?

Flip the fraction top-to-bottom, and delete the minus sign from the exponent.


How do you turn a negative exponent into a positive 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.


What does the exponent mean in scientific notation?

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.


How do you type the exponent sign from the keyboard?

shift then 6 at the same time


Is a exponent a number with a plus or - sign?

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.


How do you predict whether a power will be negative or positive?

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.


What is a square unit sign?

The exponent "2" as in a number squared, e.g. cm2 or in2