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• Laws of exponents are (a) a m × an = a +n (b) am ÷ an = am–n (c) (am)n = amn (d) am × bm = (ab)m (e) a° = 1, where a ≠ 0 (f) m m m aa b b = • Numbers can be expressed in expanded form by using exponents. • Very large and very small numbers can be expressed in standard form. • Standard form is also called scientific notation ...
Worksheet 4 – Exponents Grade 10 Mathematics 1. Complete the table: Power Base Exponent Value 2. Write down the six laws for exponents. 3. Simplify the following (Leave your answer with positive exponents): a) b) c) d) ( ) e) ( ) ( ) f) ( ) g) ( ) h) ( ) ( ) ( ) i) ( ) j) ( ) ( ) 4. Simplify the following (leave your answers with positive ...
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.
#1: Exponential form: The exponent of a power indicates how many times the base multiplies itself. #2: Multiplying Powers: If you are multiplying Powers with the same base, KEEP the BASE & ADD the EXPONENTS! So, I get When you multiply Powers, add the exponents! KEEP the BASE & SUBTRACT the EXPONENTS! When you divide Powers, subtract exponents!
Definitions: In this handout we deal only with expressions that have integers (positive or negative, and zero) as exponents. positive exponent shows how many times the base is to be multiplied by itself. In the expression 34, 3 is the base and 4 is the exponent. 34 = 3(3)(3)(3) the value of which is 81.
Expand the following numbers using exponents. + n, where m and n are natural numbers. Does this law also hold if the exponents are negative? Let us explore. Let us solve some examples using the above Laws of Exponents. Example 3: Express 4– 3 as a power with the base 2. Example 4: Simplify and write the answer in the exponential form.
To make these numbers easy to read, understand and compare, we use exponents. In this Chapter, we shall learn about exponents and also learn how to use them. We can write large numbers in a shorter form using exponents. Observe 10, 000 = 10 × 10 × 10 × 10 = 104 The short notation 104 stands for the product 10×10×10×10. Here ‘10’ is called the.
