Question

Complete the sentences about exponent rules below.

1. When simplifying exponents, you must make sure that the denominators are the same before using any exponent rule.
2. When using the positive exponent rule, you will add the exponents.
3. When using the quotient rule, you will negate the exponents.
4. If you have a negative exponent in the numerator, you will move the base to the denominator and make the exponent positive.
5. If you have a negative exponent in the denominator, you will move the base to the numerator and make the exponent positive.
6. Any base to the 0 power is equal to

A) 0
B) 1
C) -1
D) 2

Answer 1

To accurately apply exponent rules, remember that multiplying terms with the same base involves adding exponents, the quotient rule involves subtracting exponents, negative exponents indicate position inversion, and any base to the 0 power equals 1.

Step-by-step explanation:

To complete the sentences about exponent rules, we first need to provide clarity to the statements given:

• When simplifying expressions with exponents, you don't need to have the same denominators because exponents apply to their immediate bases.
• When multiplying terms with the same base, you add the exponents. For example, x^2 * x^3 = x^(2+3) = x^5.
• When using the quotient rule for exponents, you subtract the exponent of the denominator from the exponent of the numerator. For example, x^5 / x^2 = x^(5-2) = x^3.
• If you have a negative exponent in the numerator, you indeed move the base to the denominator and change the exponent to positive. For example, x^-3 = 1/x^3.
• If you have a negative exponent in the denominator, you move the base to the numerator and change the exponent to positive. For example, 1/x^-3 = x^3.
• Any base raised to the 0 power is equal to 1. Therefore, the correct answer to the sixth statement is B) 1.