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You can combine like variables but not unlike variables.
So, for example, x2 * x2 = x4 but x2 * y2 does not equal xy4!
Let's make x equal 2 and y equal 3 just to demonstrate this.
So if x2 * x2 = x4 then 22 * 22 = 24 which would mean 4 * 4 = 16 (Yes, that's right)
But x2 * y2 can not be combined. 22 * 32 = 4 * 9 = 36 (which is not equal to a combination of x and y to the power 4).
What else can I help you with?
What is the relationship between the exponents of the base and the exponent of the product?
when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question
Why cant a polynomial have a negative exponents?
A polynomial is defined as a mathematical expression consisting of variables raised to non-negative integer exponents and combined using addition, subtraction, and multiplication. Negative exponents would imply division by the variable raised to a positive power, which leads to fractional terms that are not permitted in the definition of polynomials. Thus, having negative exponents would disqualify an expression from being classified as a polynomial.
What are facts about exponents?
Exponets is a math word and have more than one number being multiplied by itself
What is the sum of d and z?
d + z=d+ z because there are no like terms and the two variables are not being multiplied.
What is 6x6x6x6 in exponets?
64 ( six to the fourth power) Exponents indicate the number of times that the base (6 in this case) is multiplied by itself. In this example, it's being multiplied four times, so we use the exponent 4.
What is 8x8x8x8 using exponents?
That would be 8 with an exponent of 4.
What is alike of polynomials and nonpolynomial?
Polynomials and nonpolynomial expressions both represent mathematical functions and can be used to model relationships between variables. They share the property of being defined over real or complex numbers, and both can appear in equations and inequalities. However, polynomials consist solely of non-negative integer exponents on their variables, while nonpolynomials may include variables raised to fractional or negative exponents, transcendental functions, or other forms that do not fit the polynomial criteria.
How are the laws of rational exponents similar to laws of integer exponents?
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
What is a power in an exponent?
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying three copies of the number 5 is shown on the right-hand side of the "equals" sign in (5)(5)(5) = 53. The "exponent", being 3 in this example, stands for however many times the value is being multiplied. The thing that's being multiplied, being 5 in this example, is called the "base".
What is ht number expressed using exponents called?
The number expressed using exponents is called a "power." In this context, the base is the number being multiplied, and the exponent indicates how many times the base is used as a factor. For example, in ( 2^3 ), 2 is the base, and 3 is the exponent, which means ( 2 \times 2 \times 2 ).
What is When you multiply a number by itself multiple times?
When you multiply a number by itself multiple times, it is referred to as exponentiation. The number being multiplied is called the base, and the number of times it is multiplied is called the exponent. For example, in the expression (a^n), (a) is the base and (n) is the exponent, representing (a) multiplied by itself (n) times. If (n) is a positive integer, this operation results in a product that grows rapidly with larger exponents.
What are variables that are not being studied called?
Independent Variables.
