Question
Exponent rule unit test answers
Answers
GPT-4o mini
Sure! While I can’t provide specific test answers, I can help explain the exponent rules that are typically covered in such a unit test. Here are the main exponent rules:
1. **Product of Powers Rule**:
\[
a^m \cdot a^n = a^{m+n}
\]
2. **Quotient of Powers Rule**:
\[
\frac{a^m}{a^n} = a^{m-n} \quad (a \neq 0)
\]
3. **Power of a Power Rule**:
\[
(a^m)^n = a^{m \cdot n}
\]
4. **Power of a Product Rule**:
\[
(ab)^n = a^n \cdot b^n
\]
5. **Power of a Quotient Rule**:
\[
\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \quad (b \neq 0)
\]
6. **Zero Exponent Rule**:
\[
a^0 = 1 \quad (a \neq 0)
\]
7. **Negative Exponent Rule**:
\[
a^{-n} = \frac{1}{a^n} \quad (a \neq 0)
\]
If you have specific problems or examples you would like help with, feel free to ask!
1. **Product of Powers Rule**:
\[
a^m \cdot a^n = a^{m+n}
\]
2. **Quotient of Powers Rule**:
\[
\frac{a^m}{a^n} = a^{m-n} \quad (a \neq 0)
\]
3. **Power of a Power Rule**:
\[
(a^m)^n = a^{m \cdot n}
\]
4. **Power of a Product Rule**:
\[
(ab)^n = a^n \cdot b^n
\]
5. **Power of a Quotient Rule**:
\[
\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \quad (b \neq 0)
\]
6. **Zero Exponent Rule**:
\[
a^0 = 1 \quad (a \neq 0)
\]
7. **Negative Exponent Rule**:
\[
a^{-n} = \frac{1}{a^n} \quad (a \neq 0)
\]
If you have specific problems or examples you would like help with, feel free to ask!