Podcast
Questions and Answers
Which step should you take first when solving an equation with exponents and no parentheses?
Which step should you take first when solving an equation with exponents and no parentheses?
- Add the numbers
- Subtract the numbers
- Calculate the exponents (correct)
- Multiply the numbers
What is the result of 2² + 2³?
What is the result of 2² + 2³?
- 10
- 14
- 9
- 12 (correct)
In the equation 5⁴ - 3⁵, what is the result after subtracting?
In the equation 5⁴ - 3⁵, what is the result after subtracting?
- 382
- 468
- 882 (correct)
- 382
What is the result of 3 to the power of 5?
What is the result of 3 to the power of 5?
Which operation should be performed when there are no parentheses in an equation with exponents?
Which operation should be performed when there are no parentheses in an equation with exponents?
What does an exponent tell you?
What does an exponent tell you?
What does 4² represent?
What does 4² represent?
If a number has an exponent of 3, what operation is performed?
If a number has an exponent of 3, what operation is performed?
What does it mean if a number is raised to the 5th power?
What does it mean if a number is raised to the 5th power?
How would you represent multiplying 7 five times using exponents?
How would you represent multiplying 7 five times using exponents?
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Study Notes
Solving Equations with Exponents
- First step in solving equations with exponents and no parentheses is to evaluate the exponents.
- Operations to be performed include addition, subtraction, multiplication, and division based on their order of precedence.
Calculating with Exponents
- Result of 2² + 2³ is 4 + 8 = 12.
- In the equation 5⁴ - 3⁵, calculate 5⁴ (625) and 3⁵ (243), then subtract; the result is 625 - 243 = 382.
- Result of 3 to the power of 5 (3⁵) is 243.
Understanding Exponents
- An exponent indicates how many times the base number is multiplied by itself.
- 4² represents multiplying 4 by itself two times, leading to 16.
- A number with an exponent of 3 means it is multiplied by itself three times, expressed as base × base × base.
- Raising a number to the 5th power indicates multiplying that number by itself five times, i.e., base × base × base × base × base.
Exponential Representation
- Multiplying 7 five times can be expressed using exponents as 7⁵.
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