Question

when two powers with the same base are multiplied, you add their exponents according to the rule.
to simplify an expression where a power is raised to another power, you multiply the exponents, which is known as the rule.
a base raised to a exponent means you should take the reciprocal of the base to make the exponent positive.
the zero exponent rule states that any base (except zero) raised to the power of zero equals.
when dividing powers with the same base, subtract the exponent in the denominator from the exponent in the numerator, applying the rule, resulting

Explanation:

1. For the first statement, the rule for multiplying powers with the same base is the product rule.
2. For the second statement, when a power is raised to another power, we use the power - of - a - power rule.
3. For the third statement, a negative exponent means taking the reciprocal of the base.
4. For the fourth statement, by the zero - exponent rule, any non - zero base raised to the power of zero is 1.
5. For the fifth statement, when dividing powers with the same base, we use the quotient rule.

Answer:

1. product
2. power - of - a - power
3. negative
4. 1
5. quotient