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The exponent of a number says how many times to use the number in a multiplication. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared". Exponents make it easier to write and use many multiplications. Example: 96 is easier to write and read than 9 × 9 × 9 × 9 × 9 × 9.
- Laws of Exponents
Laws of Exponents. Exponents are also called Powers or...
- Fractional Exponents
In words: 8 2 could be called "8 to the second power", "8 to...
- Laws of Exponents
Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x. What can QuickMath do? QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose.
There are two specially-named powers: "to the second power" is generally pronounced as "squared", and "to the third power" is generally pronounced as "cubed". So 53 is commonly pronounced as "five cubed". When we deal with numbers, we usually just simplify; we'd rather deal with 27 than with 33.
- What Is A polynomial?
- How Do Terms Create polynomials?
- What Does The Word "polynomial" Mean?
- What Are The Names For 1-, 2-, and 3-Terms polynomials?
- How Are Polynomials Named For Their degrees?
- If "Quad" Stands For 4, Why Is A Degree-2 Polynomial called A "Quadratic"?
- What Does It Mean to "Evaluate" A polynomial?
Polynomial are sums (and differences) of polynomial "terms". For an expression to be a polynomial term, any variables in the expression must have whole-number powers (or else the "understood" power of 1, as in x1, which is normally written as x). A plain number can also be a polynomial term. In particular, for an expression to be a polynomial term,...
To create a polynomial, one takes some terms and adds (and subtracts) them together. Here is a typical polynomial: Notice the exponents (that is, the powers) on each of the three terms. The first term has an exponent of 2; the second term has an "understood" exponent of 1 (which customarily is notincluded); and the last term doesn't have any variab...
The "poly-" prefix in "polynomial" means "many", from the Greek language. (The "-nomial" part might come from the Latin for "named", but this isn't certain.) I suppose, technically, the term "polynomial" should refer only to sums of many terms, but "polynomial" is used to refer to anything from one term to the sum of a zillion terms. However, the s...
monomial: a one-term polynomial, such as 2x or 4x2("mono-" meaning "one")binomial: a two-term polynomial, such as 2x + y or x2 − 4("bi-" meaning "two")trinomial: a three-term polynomial, such as 2x + y + z or x4 + 4x2 − 4("tri-" meaning "three")linear: a first-degree polynomial, such as 6x or −x + 2(because it graphs as a straight line)quadratic: a second-degree polynomial, such as 4x2, x2 − 9, or ax2 + bx + c(from the Latin "quadraticus", meaning "made square")cubic: a third-degree polynomial, such as −6x3 or x3 − 27(because the variable in the leading term is cubed, and the suffix "-ic" in English means "pertaining to")quartic: a fourth-degree polynomial, such as x4 or 2x4 − 3x2 + 9(from the Latic "quartus", meaning "fourth")Yes, the prefix "quad" usually refers to "four", as when an atv is referred to as a "quad bike", or a drone with four propellers is called a "quad-copter". For polynomials, however, the "quad" in "quadratic" is derived from the Latin for "making square". As in, if you multiply a length by a width (of, say, a room) to find the area, the units on the...
"Evaluating" a polynomial is the same as evaluatinganything else; that is, you take the value(s) you've been given, plug them in for the appropriate variable(s), and simplify to find the resulting value.
Laws of Exponents. Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64. In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared". Try it yourself:
Feb 9, 2021 · There isn't one for hypercubes in dimensions greater than four. So it's not clear what your "and so on" should be. In higher dimensions mathematicians want the name of the calculation to tell you the dimension, so you use the dimension itself, not a made up word. So "two to the $17$ th" for $2^{17}$. "Tesseracted" is ugly.
Suppose an exponential expression is raised to some power. Can we simplify the result? Yes. To do this, we use the power rule of exponents. Consider the expression \((x^2)^3\). The expression inside the parentheses is multiplied twice because it has an exponent of \(2\).
