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