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".
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
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.
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.
Half of 2x squared is x squared. To find half of a term, you divide the coefficient by 2 and keep the variable and exponent the same. In this case, half of 2 is 1, so the expression simplifies to x squared.
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.
Cut the exponent in half.
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.
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.
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.
factor it
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.
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
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.
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)
Find the reciprocal of the positive exponent. Thus, x-a = 1/xa
It depends on the calculator - some have the sqrt function, with others you need to use the exponent.
Ano ba ang halim bawa ng may consonant words sadolu ng salita