Question

Using the properties of exponents to generate an equivalent expression, which of the following would be the rational exponent on an expression equivalent to 3√216?

Responses

-3
1/3
3
-1/3

Answer 1

To convert \(3\sqrt{216}\) to an equivalent expression using rational exponents, we can rewrite the expression in terms of powers.

The expression \(3\sqrt{216}\) can be represented as:

\[
216^{1/3}
\]

Thus, the rational exponent for the cube root of 216 is \(\frac{1}{3}\).

The correct response is:

**1/3**