1. What Two operations can you apply Exponent Rules? 2. How are exponent rules different from operation rules with numbers? 3. Copy a picture of all the exponent rules here:
1. The two operations that can be applied to exponent rules are multiplication and division.
2. Exponent rules are different from operation rules with numbers because they specifically deal with powers and exponents. These rules help simplify and manipulate expressions with powers and exponents, whereas operation rules with numbers deal with basic arithmetic operations such as addition, subtraction, multiplication, and division.
3. As an AI text-based model, I am unable to display pictures or images. However, I can explain the exponent rules to you. The most common exponent rules are:
- Product of Powers: When multiplying two powers with the same base, you can add their exponents. For example, a^m * a^n = a^(m + n).
- Power of a Power: When raising a power to another exponent, you can multiply the exponents. For example, (a^m)^n = a^(m * n).
- Quotient of Powers: When dividing two powers with the same base, you can subtract their exponents. For example, a^m / a^n = a^(m - n).
- Power of a Product: When raising a product to an exponent, you can distribute the exponent to each term within the parenthesis. For example, (ab)^n = a^n * b^n.
- Power of a Quotient: When raising a quotient to an exponent, you can distribute the exponent to both the numerator and denominator. For example, (a/b)^n = a^n / b^n.
- Negative Exponent: A negative exponent can be rewritten as the reciprocal of the corresponding positive exponent. For example, a^(-n) = 1 / a^n.
These are some of the main exponent rules, and they can be used to simplify and solve expressions involving powers and exponents.