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Exponents and Powers Class 7 PPT
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Page 2 Exponents 3 base exponent 3 3 means that is the exponential form of t Example: he number 125 5 5 . 125 ? 5 3 means 3 factors of 5 or 5 x 5 x 5 Power Page 3 Exponents 3 base exponent 3 3 means that is the exponential form of t Example: he number 125 5 5 . 125 ? 5 3 means 3 factors of 5 or 5 x 5 x 5 Power The Laws of Exponents: #1: Exponential form: The exponent of a power indicates how many times the base multiplies itself. 3 Example: 5 5 5 5 ? ? ? n factors of x Page 4 Exponents 3 base exponent 3 3 means that is the exponential form of t Example: he number 125 5 5 . 125 ? 5 3 means 3 factors of 5 or 5 x 5 x 5 Power The Laws of Exponents: #1: Exponential form: The exponent of a power indicates how many times the base multiplies itself. 3 Example: 5 5 5 5 ? ? ? n factors of x #2: Multiplying Powers: If you are multiplying Powers with the same base, KEEP the BASE & ADD the EXPONENTS! m n m n x x x ? ? ? So, I get it! When you multiply Powers, you add the exponents! 512 2 2 2 2 9 3 6 3 6 ? ? ? ? ? Page 5 Exponents 3 base exponent 3 3 means that is the exponential form of t Example: he number 125 5 5 . 125 ? 5 3 means 3 factors of 5 or 5 x 5 x 5 Power The Laws of Exponents: #1: Exponential form: The exponent of a power indicates how many times the base multiplies itself. 3 Example: 5 5 5 5 ? ? ? n factors of x #2: Multiplying Powers: If you are multiplying Powers with the same base, KEEP the BASE & ADD the EXPONENTS! m n m n x x x ? ? ? So, I get it! When you multiply Powers, you add the exponents! 512 2 2 2 2 9 3 6 3 6 ? ? ? ? ? #3: Dividing Powers: When dividing Powers with the same base, KEEP the BASE & SUBTRACT the EXPONENTS! m m n m n n x x x x x ? ? ? ? So, I get it! When you divide Powers, you subtract the exponents! 16 2 2 2 2 4 2 6 2 6 ? ? ? ?Read More
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FAQs on Exponents and Powers Class 7 PPT
| 1. What is an exponent and how is it used in mathematics? |  |
Ans. An exponent represents the number of times a base number is multiplied by itself. It is written as a superscript to the right of the base number. For example, in the expression 3^4, 3 is the base number and 4 is the exponent. It means that 3 is multiplied by itself 4 times: 3 x 3 x 3 x 3 = 81.
| 2. How do you read and pronounce exponents? | |
Ans. Exponents can be read and pronounced in different ways. For example, 3^4 can be read as "3 to the power of 4," "3 raised to the 4th power," or simply "3 raised to 4." The choice of pronunciation may vary depending on the context or personal preference.
| 3. What are the rules of exponents? | |
Ans. There are several rules of exponents that help simplify mathematical expressions. Some of the key rules include:
- Product Rule: When multiplying two numbers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
- Quotient Rule: When dividing two numbers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).
- Power Rule: When raising a number with an exponent to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).
- Zero Exponent Rule: Any number (except 0) raised to the power of 0 is equal to 1. For example, a^0 = 1.
| 4. How are exponents used in scientific notation? | |
Ans. Exponents are commonly used in scientific notation to express very large or very small numbers in a concise form. In scientific notation, a number is written as the product of a decimal number between 1 and 10 and a power of 10. For example, 4,500,000 can be written as 4.5 x 10^6 in scientific notation, where the exponent 6 indicates that the decimal point is moved six places to the right.
| 5. Can exponents be negative? | |
Ans. Yes, exponents can be negative. A negative exponent indicates that the base number should be inverted or reciprocated. For example, a^(-n) is equal to 1/a^n. So, if a = 5 and n = 2, then 5^(-2) = 1/5^2 = 1/25. Negative exponents are used to represent fractions or decimals that are less than 1.
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