Respuesta :

annahyun7

Answer:

The value of 3^-2 is 1/9

Step-by-step explanation:

This is because negative exponent such as [tex]2^{-1}[/tex] transfer to 1/2. Therefore, you might notice a pattern of negative exponent -> fraction. 3^-2 -> 1/(3^2)-> 1/9

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eunice1234

Answer:

  1. 1 /9
  2. 1
  3. 3
  4. 27

Step-by-step explanation:

Concept:

Here, we need to know the idea of exponents.

The exponent of a number says how many times to use the number in a multiplication.

  • When the exponent is positive, just multiply the base number by the number of times the exponent states.
  • For example: 5² = 5 × 5 = 25
  • When the exponent is negative, turn to the reciprocal of the base number, then multiply the base number by the number of times the exponent states as the denominator.
  • For example: 6⁻² = 1 / 6² = 1 / (6 × 6) = 1/36

Any number to the 0th power, it is equal to 1.

Solve:

Question 1. What is the value of 3⁻²?

  • The exponent ⁻² on 3² is negative
  • 3⁻² = 1 / 3² = 1 / (3 × 3) = 1/9

Question 2. What is the value of 3⁰?

  • The exponent of 3⁰ is 0
  • 3⁰ = 1

Question 3. What is the value of 3¹?

  • The exponent of 3¹ is positive
  • 3¹ = 3

Question 4. What is the value of 3³?

  • The exponent of 3³ is positive
  • 3³ = 3 × 3 × 3 = 27

Hope this helps!! :)

Please let me know if you have any questions

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