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This leaflet provides information on symbols and notation commonly used in mathematics. It is designed to enable further information to be found from resources in mathcentre (www.mathcentre.ac.uk). In the table below, the symbol or notation is given in column one.
1 Definitions of powers and exponential expressions Today we will learn about powers and exponential expressions. • Powers A product in which the factors are identical is called a power of that factor. For instance, 32 = 2×2× 2×2× 2, so 32 is the fifth power of 2. • Exponential expressions
An index, or power, is used to show that a quantity is repeatedly multiplied by itself. This can be done with letters as well as numbers. So, we might have: a×a×a×a×a Since there are five a’s multiplied together we write this as ‘a to the power 5’. a5 So a× a× a× a× a = a5. What if we had 2x2 raised to the power 4 ?
21. EXPONENT LAWS. The exponent laws are the tools needed for working with expressions involving exponents. They are stated precisely below, and then discussed in the para-graphs that follow. EXPONENT LAWS. xmxn = xm+n. = xmn xn. (xm)n = xmn. (xy)m = xmym. x xm. ( )m = y ym. Let x , y , m and n be real numbers, with the following exceptions:
14 Νοε 2021 · Since \(3x^2\) is raised to the power of zero, then we can apply the zero power rule: \[\begin{array}{rl}(3x^2)^0&\text{Zero power rule} \\ 1&\text{Simplified expression}\end{array}\nonumber\]
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: 8 2 = 8 × 8 = 64
Exponents. The exponent of a number says how many times to use the number in a multiplication. In 82 the "2" says to use 8 twice in a multiplication, so 82 = 8 × 8 = 64. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared" Some more examples: Example: 53 = 5 × 5 × 5 = 125.
