Question

Rewrite the rational exponent as a radical expression. (2 points) 3 to the 2 over 3 power, to the 1 over 6 power

Answer 1

The rational exponent $(3^\frac{2}{3})^\frac{1}{6}$ written as radical expression is $\sqrt[9]{3}$

Option B is correct

Step-by-step explanation:

We need to rewrite the rational exponent as radical expression: $(3^\frac{2}{3})^\frac{1}{6}$

Solving:

$(3^\frac{2}{3})^\frac{1}{6}$

We know the exponent rule: $(a^b)^c = a^{bc}$

using this rule:

$=(3)^{\frac{2}{3}*\frac{1}{6}}\\=(3)^{\frac{1}{9}}\\\frac{1}{9}\,\,in\,power\,\,can\,\,be\,\,written\,\,as:\sqrt[9]{3},so:\\=\sqrt[9]{3}$

So, the rational exponent $(3^\frac{2}{3})^\frac{1}{6}$ written as radical expression is $\sqrt[9]{3}$

Option B is correct.

Keywords: Solving Rational exponents:

Learn more about Solving Rational exponents at:

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Answer 2

Answer:

it is b

Step-by-step explanation: