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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 216−−−√3 ?(1 point)
Responses
13
Start Fraction 1 over 3 End Fraction
−13
negative Start Fraction 1 over 3 End Fraction
−3
negative 3
3
1 answer
To convert the expression \( \sqrt[3]{216} \) to using rational exponents, we can express it as:
\[ 216^{\frac{1}{3}} \]
Thus, the rational exponent on the expression equivalent to \( \sqrt[3]{216} \) is:
\[ \frac{1}{3} \]
From the options you provided, the correct response is:
Start Fraction 1 over 3 End Fraction (which as a fraction is \( \frac{1}{3} \)).
1 answer
1 answer
1 answer
1 answer