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marysya [2.9K]
3 years ago
7

. Write the following exponential expressions as equivalent radical expressions. a. 2^(1 /2)

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

So 2^{\frac{1}{2}} will be equivalent to \sqrt{2} in radical form

Step-by-step explanation:

We have given expression 2^{\frac{1}{2}}

We have to write this in radical form

We know that if any fraction is in exponential form then if we write this in radical form then in radical form the exponent come inverse of its number

So 2^{\frac{1}{2}} can be written in radical form as \sqrt{2}

So 2^{\frac{1}{2}} will be equivalent to \sqrt{2} in radical form

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The difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

<h3>How to determine the difference?</h3>

The expression is given as:

\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}

Factor the denominators of the expressions:

\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}

Apply the difference of two squares to x² - 9

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Take LCM

\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Hence, the difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Read more about expressions at:

brainly.com/question/723406

#SPJ4

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