katelynn2911 katelynn2911
  • 21-10-2019
  • Mathematics
contestada

Provide a written explanation for each question below.
a. Is it true that (1000^(1/ 3)==(1000^3)^(1/ 3)? Explain how you know.

Respuesta :

aristeus aristeus
  • 25-10-2019

Answer:

The given expression is not equal so this is not true

Step-by-step explanation:

We have given that [tex](1000)^{\frac{1}{3}}=((1000)^3)^\frac{1}{3}[/tex]

We have to tell that it is true or not

For this we have to prove L.H.S = R.H.S

L.H.S = [tex](1000)^{\frac{1}{3}[/tex]

R.H.S = [tex]((1000)^3)^\frac{1}{3}=(1000)^{\frac{1}{3}\times 3}=1000[/tex]

Hence L.H.S [tex]\not\equiv[/tex] R.H.S

So this is not true

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