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Understanding Powers with Negative Exponents Video Lecture | Mathematics for EmSAT Achieve
FAQs on Understanding Powers with Negative Exponents Video Lecture - Mathematics for EmSAT Achieve
| 1. What is a negative exponent? |  |
Ans. A negative exponent represents the reciprocal of a number raised to a positive exponent. For example, if a number is raised to the power of -3, it means the reciprocal of that number raised to the power of 3.
| 2. How do you simplify expressions with negative exponents? | |
Ans. To simplify expressions with negative exponents, you can move the base with the negative exponent to the opposite side of the fraction line and change the sign of the exponent to positive. This way, you can express the number without negative exponents.
| 3. What is the rule for multiplying or dividing numbers with negative exponents? | |
Ans. When multiplying or dividing numbers with negative exponents, you can apply the rule that states: a negative exponent in the numerator becomes a positive exponent in the denominator, and a negative exponent in the denominator becomes a positive exponent in the numerator.
| 4. Can negative exponents be applied to any number? | |
Ans. Yes, negative exponents can be applied to any number, including integers, fractions, and decimals. However, it is important to note that negative exponents only make sense when the base is not zero.
| 5. How do negative exponents relate to scientific notation? | |
Ans. Negative exponents play a crucial role in expressing very large or very small numbers using scientific notation. In scientific notation, a negative exponent represents the number of decimal places the decimal point needs to be moved to the left to form a number between 1 and 10. For example, 0.00005 can be written as 5 x 10^-5 in scientific notation.
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