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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".

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Q: How do you find the square root of a variable with an odd numbered exponent?
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Continue Learning about Algebra

What is the degree for a number without a variable?

anything without a variable is to the first power. To find the degree, you look at what the power of the number is and that will be the degree. The degree is the number of times your coefficient is a factor. Since the exponent is one, so is the degree. Ex. 2x squared = 2nd degree


A combination of operations on variables and numbers is called an?

This is called algebra. In algebra you can have many operations. You can add, subtract, multiply, divide, square, cube, square root, factor, or distribute. There are others but these are the main ones. You use these operations to find the numerical value of the variable.


How do you find the area of a figure and write the area in square units?

Unless there is a given measurement of the lengths of the sides of the figure (ex. cm., mm., in.) you would say units, and put a little 2 as an exponent because you need to write square units.


How do you find the GCF of a set of monomials?

Find the gcf for the coefficients and find the smallest exponential for the variable(s), but the variable must be in all the monomial terms.


What is the base and exponent of 125?

If you are referring to the number 125 itself, then 125 is the base, and 1 is the exponent. This would be written as 1251. This number can also be written as 53, as 5 cubed also equals 125. In this case, 5 is the base, and 3 is the exponent. The main integer value is the base, the number to the upper right of it is the exponent. The exponent tells you how many times to multiply the base number by itself to find the answer.

Related questions

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

Cut the exponent in half.


What do you do when you have a variable when trying to find the LCM?

The LCM will contain all factors including variables. Look at coefficients and find their LCM. Then IF several terms have a common factor with a differnt exponent, use that variable with the largest exponent. If a variable appears in only one term, it will still be part of the LCM with its exponent. EX Find LCM for 14s3 and 6 ---- ANSWER --- 42s3 Ex Find Lcm for 3x2y , 4y3, and 7x --- The LCM is 84x2y3 biggest exponents even if not in all terms.


Where would you find the coefficient in an equation in science?

The term coefficient refers to a number that is next to a variable. For example in the term 4x2, 4 is a coefficient, and 2 is an exponent; x is a variable.


How do you find GCF with variables and exponents?

For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.


How do you find the square root of a variable squared plus sixteen?

factor it


How do you find the product or quotient using positive exponents when you have negative ones?

Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.


What is the degree for a number without a variable?

anything without a variable is to the first power. To find the degree, you look at what the power of the number is and that will be the degree. The degree is the number of times your coefficient is a factor. Since the exponent is one, so is the degree. Ex. 2x squared = 2nd degree


How do you find the gcf and LCM of numbers with variables and-exponents?

For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.


How would you find the derivative of the square root of x?

square root of x is the same as x^(1/2). You do the same as you would normally 1/2 * x^(-1/2). Take the exponent, put it down in front of x and subtract the exponent by 1 (1/2 - 1 = -1/2)


What do you have to do to evaluate a negative exponent?

Find the reciprocal of the positive exponent. Thus, x-a = 1/xa


When using a calculator to find the square root of a number what is the right sequence of steps?

It depends on the calculator - some have the sqrt function, with others you need to use the exponent.


How do you find the square root of 8 with the exponent of three?

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