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Name: Date: 1.1 Understand Exponents Question 17, page 21 BLM 1.1 a) Sam's Culture Hours 0 Standard Notation 4 12 Exponential Notation Expanded Form 44 24 36 48 Sam had yeast cells after 24 h or 1
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How to fill out and understand exponents:

Start by understanding what an exponent is. It is a small number written above and to the right of another number, which indicates how many times that number should be multiplied by itself.

Begin by familiarizing yourself with the basic exponent rules:

01
When multiplying two numbers with the same base, add the exponents.
02
When dividing two numbers with the same base, subtract the exponents.
03
When raising a number to a power, multiply the exponents.
3.1
Practice applying these rules with simple examples. For instance, if you have 2^3 (2 raised to the power of 3), it means you multiply 2 by itself three times: 2 x 2 x 2 = 8.
3.2
Move on to more complex examples, such as numbers with negative exponents or fractional exponents. Study the specific rules associated with these cases.
3.3
Understand that exponents can also be used for variables. For example, x^2 means x multiplied by itself: x x x. Similarly, x^3 means x multiplied by itself three times: x x x x x.
3.4
Practice solving exponent equations and simplifying expressions with exponents. This will help you gain proficiency and confidence in working with exponents.
3.5
Always double-check your work and make sure you understand the concepts thoroughly before moving on to more advanced topics in mathematics.

Who needs to understand exponents:

01
Students studying mathematics at various levels, from elementary school to college.
02
Scientists and researchers who use exponential notation in their work, such as in physics, chemistry, or engineering.
03
Anyone working with financial calculations, where exponential growth or decay is involved, such as compound interest or investment returns.
04
Individuals interested in understanding complex mathematical concepts or wanting to improve their problem-solving skills.
05
Professionals in fields like computer programming or data analysis, where understanding exponents is crucial for efficient coding and analyzing large datasets.
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Exponents represent how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, which equals 8.
Anyone studying mathematics or taking a course that involves exponents would be required to understand exponents.
To fill out exponents, you need to write the base number (the number being multiplied) and the exponent (the number of times the base is multiplied by itself) in the correct notation. For example, 2^4.
Understanding exponents helps simplify complex mathematical expressions and perform calculations more efficiently.
The base number and the exponent must be reported on exponents, indicating the number being multiplied and the number of times it is multiplied by itself.
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