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.

„h 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.

How are we to know what you see on that chart? We are not associated with any school or textbook.

Sra

The three rules for exponents listed in the chart on page 239 are as follows:

1. Product of Powers: When you multiply two exponential expressions with the same base, you can add their exponents. This can be written as a^m * a^n = a^(m+n). For example, 2^3 * 2^4 = 2^(3+4) = 2^7.

2. Power of a Power: When you raise an exponential expression to another exponent, you can multiply the exponents. This can be written as (a^m)^n = a^(m*n). For example, (3^2)^3 = 3^(2*3) = 3^6.

3. Quotient of Powers: When you divide two exponential expressions with the same base, you can subtract their exponents. This can be written as a^m / a^n = a^(m-n). For example, (5^4) / (5^2) = 5^(4-2) = 5^2.

Now, let me create an expression for you to solve that uses scientific notation and one of the rules for exponents mentioned above.

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

To solve this expression, we can use the product of powers rule, which states that when you multiply two exponential expressions with the same base, you can add their exponents.

First, let's multiply the coefficients:
2.5 * 3 = 7.5

Next, let's multiply the powers of 10:
10^4 * 10^3 = 10^(4+3) = 10^7

Putting it all together:
(2.5 x 10^4) * (3 x 10^3) = 7.5 x 10^7

So the final answer is 7.5 x 10^7.

If you have any further questions or need assistance with anything, feel free to ask!