How to write a term with a rational exponent in radical form

How to write a term with a rational exponent in radical form

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to express numbers in exponential form, focusing on rational exponents. It introduces the concept of writing expressions with rational exponents, where the denominator becomes the root. The tutorial demonstrates this with the example of X to the one-sixth power, showing how it translates to the sixth root of X. The video concludes with a motivational note, encouraging students to apply the learned concepts.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus when writing an expression with a rational exponent where the numerator is one?

Writing the expression in exponential form

Identifying the base number

Calculating the logarithm of the base

Finding the square of the base

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a rational exponent, what does the denominator represent?

The power to which the base is raised

The root of the base number

The base number itself

The reciprocal of the base

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify an expression with a rational exponent where the numerator is one?

By multiplying the base by itself

By taking the root indicated by the denominator

By adding the base to itself

By subtracting the base from itself

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of X raised to the one-sixth power?

The cube root of X

The square root of X

The sixth root of X

The sixth power of X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key takeaway about converting expressions with rational exponents to root form?

It is a complex process

It requires advanced calculus

It involves logarithmic calculations

It is a simple and straightforward process