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Is the square root an exponent?

Updated: 4/28/2022
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Wiki User

6y ago

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Yes, the square root is equivalent to an exponent of 1/2.Suppose the exponent is a rational number of the form p/q where p and q are integers and q > 0. Then x^(p/q) = (the qth root of x) raised to the power p

or, equivalently,

(the qth root of (x raised to the power p).

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8y ago
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6y ago

a square root can be expressed as an exponent. i.e. 3^1/2 is the square root of three

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Q: Is the square root an exponent?
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Related questions

What is rational exponent represents a square root?

And exponent of -2 represents the square root


What is the opposite of a square root?

The opposite of a square root (exponent 1/2) is the square (exponent 2).


What is exponents square root?

The exponent for a square root is 0.5 or 1/2.


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

Cut the exponent in half.


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

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.


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".


How are square roots related to exponents?

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


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.


What is half an exponent mean?

I assume the question is about an exponent whose value is a half (or a multiple of a half). An exponent of a half is simply the square root. Similarly, an exponent of (1/3) is a cubed-root and so on.


What is 96 as an exponet form?

What you mean is, "What is the square root of 96?".The square root, or "exponent form" of 96 is 9.79795897


What is a fractional exponent?

That means that the exponent is a fraction, such as 21/2 = square root of 2, 101/3 = cubic root of 10, etc.


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.