rlafay5246
rlafay5246 rlafay5246
  • 17-10-2021
  • Mathematics
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Which equation justifies why seven to the one-third power equals the cube root of seven?


[tex]7^1/3 = \sqrt[3]{7}[/tex]

Which equation justifies why seven to the onethird power equals the cube root of seventex713 sqrt37tex class=

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freckledspots freckledspots
  • 17-10-2021

Answer:

Third one

Step-by-step explanation:

The only equation that is even true is the third one.

If the cube of a number is x, then cube root of x is that number.

So the cube of 7^(1/3) is (7^(1/3))^3.

By law of exponents, we have (7^(1/3))^3=7^(1/3×3)=7^1=7.

So the cube of 7^(1/3) is 7, so the cube root of 7 is 7^(1/3).

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