Explain three rules for exponents listed in the chart on p. 239 (Section 4.2). Do not explain the first two definitions listed in the table (Exponent of 1 or 0). Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have described. Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real life situations where their examples might exist.
We do not have access to your page 239.
Sure! The three rules for exponents listed in the chart on page 239 (Section 4.2) are the Product Rule, Power Rule, and Quotient Rule.
1. Product Rule: When you multiply two numbers with the same base but different exponents, you can add the exponents. For example, if you have 2^3 multiplied by 2^4, you can add 3 and 4 to get 2^7.
2. Power Rule: When you raise a number with an exponent to another exponent, you can multiply the exponents. For instance, if you have (3^2)^3, you can multiply 2 and 3 to get 3^6.
3. Quotient Rule: When you divide two numbers with the same base but different exponents, you can subtract the exponents. For example, if you have 5^7 divided by 5^3, you can subtract 3 from 7 to get 5^4.
Now, here's an expression for your classmates to solve that uses scientific notation and one of these rules:
(3.2 x 10^4)^2
To solve this expression, we can use the power rule. First, we square the base, which gives us 3.2 squared. Then, we multiply the exponents, which gives us 10^4 multiplied by 2. So, our final answer would be 10^8.
Real-life situations where these examples might exist could be in scientific research, engineering calculations, or financial analysis, where large or small numbers are often represented using scientific notation to simplify calculations.