Write the following as a radical expression.

t^(6/7)


The expression \( t^{6/7} \) can be written as a radical expression by using the property of exponents:

\[
t^{\frac{a}{b}} = \sqrt[b]{t^a}
\]

For \( t^{6/7} \), \( a = 6 \) and \( b = 7 \), so the expression can be rewritten as:

\[
t^{6/7} = \sqrt[7]{t^6}
\]

Thus, the radical expression for \( t^{6/7} \) is:

\[
\sqrt[7]{t^6}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would you express \( t^{4/5} \) as a radical expression?
2. What is the equivalent radical expression for \( x^{3/2} \)?
3. How can you simplify \( \sqrt[5]{t^{10}} \)?
4. How do you convert \( t^{8/3} \) into a radical expression?
5. What is the radical form of \( t^{1/4} \)?

**Tip:** Remember that the denominator of a fractional exponent becomes the index of the radical, and the numerator becomes the exponent inside the radical.

Learn how to express t^(6/7) as a radical expression using mathematical properties. Understand the exponentiation property and its application in transforming t^(6/7) into sqrt[7]{t^6}. Suitable for high school students and anyone interested in algebraic expressions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation