Discover the Hidden Meanings

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5 Questions

Which of the following is an example of a power?

$2^3$

Which of the following is equivalent to $2^{-3}$?

$\frac{1},{8}$

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

$2$

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

$3^8$

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

$9$

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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