Question

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.


(2x6) ^ 3/2

Answer 1

4 to the 18th power is the answer to your question. 

Answer 2

The given expression using the properties of rational exponents is  the $2^{\frac{3}{2}}x^9.$

We have given that,

$\left(2x^6\right)^{\frac{3}{2}}$

We have to rewrite the following expression using the properties of rational exponents.

Here we have to apply the exponent rule

What is the exponent rule?

$\left(a\cdot \:b\right)^n=a^nb^n$

By using the above rule we get,

$=\left(2x^6\right)^{\frac{3}{2}}=2^{\frac{3}{2}}\left(x^6\right)^{\frac{3}{2}}$

$=2^{\frac{3}{2}}x^9$

$=2\sqrt{2}x^9$

$=2^{\frac{3}{2}}x^9$

Therefore we get,

The given expression using the properties of rational exponents is  the $2^{\frac{3}{2}}x^9.$

To learn more about the exponent function visit:

https://brainly.com/question/14197900

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