Podcast
Questions and Answers
Which of the following is an example of a power?
Which of the following is an example of a power?
- $\sqrt{16}$
- $3!$
- $2^3$ (correct)
- $\frac{1},{4}$
Which of the following is equivalent to $2^{-3}$?
Which of the following is equivalent to $2^{-3}$?
- $\frac{1},{4}$
- $\frac{1},{2}$
- $\frac{1},{8}$ (correct)
- $\frac{1},{6}$
What is the value of $4^{\frac{1},{2}}$?
What is the value of $4^{\frac{1},{2}}$?
- $2$ (correct)
- $4$
- $\frac{1},{2}$
- $16$
Which of the following is equivalent to $3^2 \cdot 3^4$?
Which of the following is equivalent to $3^2 \cdot 3^4$?
What is the value of $\sqrt{81}$?
What is the value of $\sqrt{81}$?
Study Notes
Exponents and Powers
- An example of a power is an expression with a base and an exponent, such as 2^3 or 4^2.
- The value of 2^{-3} is equivalent to 1/2^3 or 1/8.
- The value of 4^{1/2} is the square root of 4, which is 2.
- The expression 3^2 * 3^4 is equivalent to 3^(2+4) or 3^6.
- The value of √81 is 9, since 9^2 = 81.
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