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 exis

We do not have access to the chart or the table.

Jiskha has no connection with any school.

Please pass the word along.

three rules for exponents

Certainly! Here are three rules for exponents as listed on page 239, excluding the first two definitions (Exponent of 1 or 0):

1. Rule of Multiplication: When two exponential expressions with the same base are multiplied together, you add their exponents. For example, if you have 2^3 * 2^4, you can apply this rule by adding the exponents to get 2^(3+4) = 2^7.

2. Rule of Division: When two exponential expressions with the same base are divided, you subtract the exponent of the denominator from the exponent of the numerator. For example, if you have (5^6)/(5^2), you can apply this rule by subtracting the exponents to get 5^(6-2) = 5^4.

3. Rule of Power to a Power: When an exponential expression is raised to another exponent, you multiply the exponents together. For example, if you have (3^2)^5, you can apply this rule by multiplying the exponents to get 3^(2*5) = 3^10.

Now, let's create an expression for your classmates to solve using scientific notation and one of the rules for exponents:

Expression: (2.5 x 10^3) * (7 x 10^4)

To solve this expression, we need to apply the Rule of Multiplication. According to the rule, when multiplying two exponential expressions with the same base (in this case, 10), we add their exponents.

First, let's multiply the non-exponential parts of the expression: 2.5 * 7 = 17.5.

Next, let's apply the Rule of Multiplication to the exponential parts: 10^(3+4) = 10^7.

Combining the non-exponential and exponential parts, we get the final answer: 17.5 x 10^7.

Now, let's assist our classmates in solving this problem or develop further explanations of the rules of exponents:

If a classmate is stuck on solving the expression, you could explain to them that in order to multiply the non-exponential parts, they need to perform the multiplication operation on the numbers outside the scientific notation. Then, to apply the Rule of Multiplication, they should add the exponents together. Finally, they can combine the non-exponential and exponential parts to get the answer.

Regarding the rules of exponents, you could describe real-life situations where these examples might exist. For example, the Rule of Multiplication can be seen when calculating the total amount of money earned from investments that grow at a certain rate each year. The Rule of Division can be applied when calculating the average speed of a car by dividing the total distance covered by the time taken. The Rule of Power to a Power can be useful in electrical circuits to determine the total resistance when resistors are connected in series or parallel.