Discover the Hidden Meanings
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Questions and Answers

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 $2^{-3}$?

  • $\frac{1},{4}$
  • $\frac{1},{2}$
  • $\frac{1},{8}$ (correct)
  • $\frac{1},{6}$

What is the value of $4^{\frac{1},{2}}$?

  • $2$ (correct)
  • $4$
  • $\frac{1},{2}$
  • $16$

Which of the following is equivalent to $3^2 \cdot 3^4$?

<p>$3^8$ (B)</p> Signup and view all the answers

What is the value of $\sqrt{81}$?

<p>$9$ (D)</p> Signup and view all the answers

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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