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riadik2000 [5.3K]
3 years ago
10

Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3 ? (1 point) 27 to the power of 1

over 3 equals 9 to the power of 3 to the power of 1 over 3 equals 9 to the power of 3 multiplied by 1 over 3 equals 9 27 to the power of 1 over 3 equals 3 to the power of 9 to the power of 1 over 3 equals 3 to the power of 9 multiplied by 1 over 3 equals 3 27 to the power of 1 over 3 equals 3 to the power of 4 to the power of 1 over 2 equals 3 to the power of 4 multiplied by 1 over 2 equals 9 27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3
Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0

Answer:

  • 27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Step-by-step explanation:

  • <em>Use of formula: (a^b)^c = a^(bc)</em>

<u>Solution</u>

  • 27^(1/3) =
  • (3^3)^(1/3) =
  • 3^(3*1/3) =
  • 3

<u>This is matching the last answer option</u>

  • 27 to the power of 1 over 3
  • equals 3 to the power of 3 to the power of 1 over 3
  • equals 3 to the power of 3 multiplied by 1 over 3
  • equals 3
sammy [17]3 years ago
6 0

Step-by-step explanation:

27^1/3

=(3^3)^1/3

=(3^3)×1/3

=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Or

27^1/3=?

To find the answer, I will use one formula from Laws of Exponent

a^p/q

=q√a^p

Apply the same steps to 27^1/3

27^1/3

=³√27¹

=³√27

=3. Hope it help!

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