Question

6.3 rational exponents quiz

in the expression \\(x^{\frac{3}{4}}\\), the 4 represents

base
coefficient
power
root

Explanation:

Identify the components of the expression

Using the Rational Exponents knowledge point

$$ \text{In the expression } x^{\frac{3}{4}}: $$

• \(x\) is the base.
• \(\frac{3}{4}\) is the rational exponent.

Relate rational exponents to radical form

Using the Radical Form knowledge point

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

• \(m\) (the numerator, \(3\)) represents the power.
• \(n\) (the denominator, \(4\)) represents the index of the root.
• Therefore, the \(4\) represents the root.

Answer:

• base
• coefficient
• power
• root (Correct answer)