Which of the following expressions is equivalent to 3√216/27^1/3 when applying the

exponent properties?(1 point)
Responses

18

1/2

8

2

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To simplify the expression 3√216/27^1/3 using exponent properties, we can rewrite it as 3√(216) / (27)^(1/3).

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To simplify the expression 3√216/27^1/3 using exponent properties, we can first rewrite the expression using fractional exponents:

3√(216) = 216^(1/3)

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

Now, we can substitute these values back into the original expression:

3√216/27^1/3 = 216^(1/3) / 3

Since 216^(1/3) is equal to 6, we have:

6 / 3 = 2

Therefore, the expression 3√216/27^1/3 is equivalent to 2.