Question

Given √b6.
What is the rational exponent form of this expression?
O b1/3
0 b3
O b6
O b3/2

Answer 1

The rational exponent form of the given expression is b³. The correct option is the second option b³

Evaluating an expression

From the question, we are to determine the rational exponent form of the given expression

The given expression is

$\sqrt{b^{6} }$

From one of the laws of indices, we have that

$\sqrt[n]{x^{m} } = x^{\frac{m}{n} }$

Thus,

$\sqrt{b^{6} } = b^{\frac{6}{2} }$

= $b^{3}$

∴√b⁶ = b³

Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³

Learn more on Evaluating an expression here: https://brainly.com/question/535578

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