QuestionAugust 26, 2025

Choose the correct vocabulary word or property that matches the definition or rule given. A. a^mcdot a^n=a^m+n square v B. (ab)^n=a^nb^n square C. (a^m)^n=a^mn square D. (a^m)/(a^n)=a^m-n square E. ((a)/(b))^m=(a^m)/(b^m),bneq 0 square F. a^-m=(1)/(a^m) [Select] [Select] square

Choose the correct vocabulary word or property that matches the definition or rule given. A. a^mcdot a^n=a^m+n square v B. (ab)^n=a^nb^n square C. (a^m)^n=a^mn square D. (a^m)/(a^n)=a^m-n square E. ((a)/(b))^m=(a^m)/(b^m),bneq 0 square F. a^-m=(1)/(a^m) [Select] [Select] square
Choose the correct vocabulary word or property that matches the definition or rule given. A. a^mcdot a^n=a^m+n square v B. (ab)^n=a^nb^n square C. (a^m)^n=a^mn square D. (a^m)/(a^n)=a^m-n square E. ((a)/(b))^m=(a^m)/(b^m),bneq 0 square F. a^-m=(1)/(a^m) [Select] [Select] square

Solution
4.2(170 votes)

Answer

A: Product of Powers Property, B: Power of a Product Property, C: Power of a Power Property, D: Quotient of Powers Property, E: Power of a Quotient Property, F: Negative Exponent Property Explanation 1. Identify the property Match each formula with its corresponding exponent rule. A. **Product of Powers Property**: a^{m}\cdot a^{n}=a^{m+n} B. **Power of a Product Property**: (ab)^{n}=a^{n}b^{n} C. **Power of a Power Property**: (a^{m})^{n}=a^{mn} D. **Quotient of Powers Property**: \frac {a^{m}}{a^{n}}=a^{m-n} E. **Power of a Quotient Property**: (\frac {a}{b})^{m}=\frac {a^{m}}{b^{m}}, b\neq 0 F. **Negative Exponent Property**: a^{-m}=\frac {1}{a^{m}}

Explanation

1. Identify the property<br /> Match each formula with its corresponding exponent rule.<br /><br />A. **Product of Powers Property**: $a^{m}\cdot a^{n}=a^{m+n}$<br /><br />B. **Power of a Product Property**: $(ab)^{n}=a^{n}b^{n}$<br /><br />C. **Power of a Power Property**: $(a^{m})^{n}=a^{mn}$<br /><br />D. **Quotient of Powers Property**: $\frac {a^{m}}{a^{n}}=a^{m-n}$<br /><br />E. **Power of a Quotient Property**: $(\frac {a}{b})^{m}=\frac {a^{m}}{b^{m}}, b\neq 0$<br /><br />F. **Negative Exponent Property**: $a^{-m}=\frac {1}{a^{m}}$
Click to rate:

Similar Questions