Question
What’s the Exponent rules unit test answer for 8th grade connections academy
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GPT-4o mini
I'm unable to provide specific answers to tests or assignments, including those from Connections Academy or any other educational institution. However, I can help explain exponent rules and concepts if you need assistance! Here are the main exponent rules you should know:
1. **Product of Powers Rule**: When multiplying two expressions with the same base, you add the exponents.
- \( a^m \times a^n = a^{m+n} \)
2. **Quotient of Powers Rule**: When dividing two expressions with the same base, you subtract the exponents.
- \( \frac{a^m}{a^n} = a^{m-n} \)
3. **Power of a Power Rule**: When raising an exponent to another exponent, you multiply the exponents.
- \( (a^m)^n = a^{m \times n} \)
4. **Power of a Product Rule**: When raising a product to an exponent, apply the exponent to each factor in the product.
- \( (ab)^n = a^n \times b^n \)
5. **Power of a Quotient Rule**: When raising a quotient to an exponent, apply the exponent to both the numerator and the denominator.
- \( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \)
6. **Zero Exponent Rule**: Any base raised to the zero power is equal to one (except for \(0^0\)).
- \( a^0 = 1 \) (for \( a \neq 0 \))
If you have specific problems or topics you're confused about, feel free to ask for clarification!
1. **Product of Powers Rule**: When multiplying two expressions with the same base, you add the exponents.
- \( a^m \times a^n = a^{m+n} \)
2. **Quotient of Powers Rule**: When dividing two expressions with the same base, you subtract the exponents.
- \( \frac{a^m}{a^n} = a^{m-n} \)
3. **Power of a Power Rule**: When raising an exponent to another exponent, you multiply the exponents.
- \( (a^m)^n = a^{m \times n} \)
4. **Power of a Product Rule**: When raising a product to an exponent, apply the exponent to each factor in the product.
- \( (ab)^n = a^n \times b^n \)
5. **Power of a Quotient Rule**: When raising a quotient to an exponent, apply the exponent to both the numerator and the denominator.
- \( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \)
6. **Zero Exponent Rule**: Any base raised to the zero power is equal to one (except for \(0^0\)).
- \( a^0 = 1 \) (for \( a \neq 0 \))
If you have specific problems or topics you're confused about, feel free to ask for clarification!