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When you take the square root of a variable raised to an exponent, you divide the exponent by two.

For example the square root of x^4 is x^2, because x^2 x x^2 =x^4.

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Q: When you take the square root of a variable with an even number exponent how does the exponent value change?
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Related questions

What is the coefficient and the exponent of the square root of 3b?

The coefficient is the number placed before a variable, or variables. As for the exponent: taking the square root of a number is the same as raising it to the power 1/2, so you can consider the exponent to be 1/2. Edit: So coefficient is ./3 and exponent is 1/2


How do you use exponent in a sentence?

The square of a number can be represented by writing the number with an exponent of 2, whereas the square root of the number is represented by writing the number with an exponent of 1/2.


What are the multiples of three but are square numbers?

Any even exponent of 3 is a square number.


Which exponent gives the square of the reciprocal of a number?

The relevant exponent is -2.


How do you find the square root of a number with an exponent?

Cut the exponent in half.


How are square roots related to exponents?

A square root is a number raised to the exponent (power) 1/2.


What is an irrational exponent?

It means that it is an exponent, and that it is not a rational number - i.e., one that can be written as a fraction of two integers.


How do you find the square root of a variable with an odd numbered exponent?

The same way as you find the square root with an even-numbered exponent. For example, the square root of x10 is x5. That is, divide the exponent by 2. Similarly, the square root of x7 is x3.5. Once again, you simply calculate one-half of the exponent. If you prefer to express this with integer exponents and square roots, in this example you can write x3.5 as x3x0.5. The second part, x0.5, is equivalent to the square root of "x".


What is the inverse to the square root symbol?

It's the little figure ' 2 ' attached as the 'exponent' of a number or variable, like 172 or x2 .Here's what it looks like in both directions:√72 = xx2 = 72


What exponent do you take any base to for the square root?

Raising a number to the 1/2 power produces the square root. 1/2 is the exponent you're looking for.


When you raise a number to the power with the exponent one half you get its?

principle square root


What is a square unit?

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