How can exponent rules be solved without deleting the question?

In summary, an exponent is a mathematical notation that represents how many times a number, known as the base, is multiplied by itself. The basic exponent rules include raising any number to the power of 0 or 1, as well as adding, subtracting, and multiplying exponents. To simplify expressions with exponents, use the order of operations. The power of a power rule states that when raising a power to another power, you multiply the exponents. Other exponent rules to remember include using negative exponents, fractions, and decimals.
  • #1
Nikitin
735
27
problem is solved.
 
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  • #2
i is sqrt (-1) ,
-1 is NOT sqrt (i)
 
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  • #3
oops, you're right. embarrassing mistake, forget this threat!
 
  • #4
You shouldn't delete the question, though. Part of the point of the forum is so that when others have the same question they can resolve it without ever having to ask.
 
  • #5


Exponent rules can be solved by using the properties of exponents, such as the product rule, quotient rule, power rule, and negative exponent rule. These rules allow us to manipulate and simplify expressions with exponents without deleting any parts of the original question. By applying these rules, we can solve problems involving exponents in a systematic and efficient manner. Additionally, understanding the concept behind these rules can help us to better understand the underlying principles of exponentiation and strengthen our problem-solving skills. Therefore, instead of deleting the question, we can use exponent rules to solve it and gain a deeper understanding of the topic.
 

1. What is an exponent?

An exponent is a mathematical notation that represents how many times a number, known as the base, is multiplied by itself. It is written as a superscript to the right of the base number, such as 52, which means 5 multiplied by itself 2 times.

2. What are the basic exponent rules?

The basic exponent rules are:

  1. Any number raised to the power of 0 is equal to 1.
  2. Any number raised to the power of 1 is equal to itself.
  3. When multiplying numbers with the same base, add the exponents.
  4. When dividing numbers with the same base, subtract the exponents.
  5. When raising a power to another power, multiply the exponents.

3. How do you simplify expressions with exponents?

To simplify expressions with exponents, follow the basic exponent rules and use the order of operations (PEMDAS). Start by simplifying any parentheses, then work on any exponents, then perform any multiplication or division, and finally any addition or subtraction.

4. Can you give an example of using the power of a power rule?

One example of using the power of a power rule is: (23)2 = 23x2 = 26 = 64. This is because the power of a power rule states that when raising a power to another power, you multiply the exponents.

5. Are there any other exponent rules to remember?

Yes, there are a few other exponent rules to remember, such as:

  1. Any number raised to a negative exponent can be rewritten as its reciprocal with a positive exponent.
  2. When an exponent is a fraction, it represents taking the root of the base number. For example, 41/2 = √4 = 2.
  3. When an exponent is a decimal, it represents a number between the two consecutive whole number exponents. For example, 40.5 is between 40 and 41, so it is equal to the square root of 4.

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