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Questions and Answers
Which of the following is the correct expression for the product of $a^m$ and $a^n$?
If $a = 2$ and $m = 3$, what is the value of $a^m$?
If $a = 5$ and $n = -2$, what is the value of $a^n$?
Which of the following expressions represents the product of $a^m$ and $a^n$?
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If $a = 2$ and $n = -3$, what is the value of $a^n$?
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If $a = 3$ and $m = 4$, what is the value of $a^m$?
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Study Notes
Exponents and Powers
- The product of $a^m$ and $a^n$ is represented by the expression $a^{m+n}$.
- When $a = 2$ and $m = 3$, the value of $a^m$ is $2^3 = 8$.
- When $a = 5$ and $n = -2$, the value of $a^n$ is $5^{-2} = \frac{1}{5^2} = \frac{1}{25}$.
- The product of $a^m$ and $a^n$ can also be represented as $a^{m} \times a^n$.
- When $a = 2$ and $n = -3$, the value of $a^n$ is $2^{-3} = \frac{1}{2^3} = \frac{1}{8}$.
- When $a = 3$ and $m = 4$, the value of $a^m$ is $3^4 = 81$.
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Description
Quiz: Laws of Exponents - Multiplying Powers with the Same Base Description: Test your understanding of the law of exponents (am × an = a(m+n)) with this easy-level quiz. This quiz is designed for class 9 students studying the number system and focuses on applying the multiplication rule to solve problems involving powers with the same base. Challenge yourself and strengthen your knowledge of laws of exponents!
