Question

How do you think the given expressions with a
rational exponent were written as radicals?
what processes have you observed ?
what necessary understanding is needed to simplify
the given expression?
What
are
the bases for arriving at your conclu-
sion?​

Answer 1

Answer:

To rewrite a radical using a fractional exponent, the power to which the radicand is raised becomes the numerator and the root becomes the denominator. Any radical in the form can be written using a fractional exponent in the form

Answer 2

Radicals to rational exponents:

• As an alternative to a radical, you can utilise rational exponents. An exponent that is a fraction is a rational exponent. It will be helpful to write radical expressions with rational exponents when we examine how to simplify more complicated radical expressions. Fractional exponents and radicals are two different ways to say the same idea.
• When we simplify more complicated radical expressions, we will see that writing radicals with rational exponents can make things simpler. Algebraic expressions can be expressed and written in a variety of ways, giving us more freedom in how we solve and simplify them. We can apply certain concepts and guidelines learned from simplifying exponents to simplify complex radical expressions. Remember the Product Raised to a Power Rule from your exponents course? According to this rule, the sum of any two or more non-zero numbers raised to a power is equal to the sum of any one or more non-zero numbers raised to a power.

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