Exponents and Powers Quiz

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Questions and Answers

What is the base in the power expression $3^4$?

  • 3 (correct)
  • 4
  • 7
  • 12

What does the power of zero indicate, such as in $5^0$?

  • Zero
  • One (correct)
  • Undefined
  • Five

What is the value of $2^5$?

  • 16
  • 32 (correct)
  • 10
  • 25

If a number is squared, what exponent is used?

<p>2 (A)</p> Signup and view all the answers

Which of the following represents the cube of 4?

<p>64 (D)</p> Signup and view all the answers

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Study Notes

Base of a Power Expression

  • The base in a power expression is the number being multiplied by itself. In the expression $3^4$, the base is 3.

Power of Zero

  • Any number raised to the power of zero equals 1. This is because $x^0 = x^{n-n}$

Value of a Power Expression

  • $2^5$ is the same as 2 multiplied by itself five times: 2 × 2 × 2 × 2 × 2 = 32

Exponent for Squaring

  • When a number is squared, the exponent used is 2. This is because squaring a number means multiplying it by itself.

Cube of a Number

  • The cube of 4 is represented as $4^3$, which equals 64.

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