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kumpel [21]
9 months ago
10

Rewrite in simplest rational exponent form

exFormula1" title="\sqrt{x} * \sqrt[4]{x}" alt="\sqrt{x} * \sqrt[4]{x}" align="absmiddle" class="latex-formula"> Show each step of your process.
Mathematics
1 answer:
Shkiper50 [21]9 months ago
5 0

The given expression written in the simplest rational exponent form is x^{\frac{3}{4} }

<h3>Writing an Expression in Exponent form</h3>

From the question, we are to write the given expression in exponent form

The given expression is

\sqrt{x}  \times \sqrt[4]{x}

In exponent form,

\sqrt{x}  = x^{\frac{1}{2} }

and

\sqrt[4]{x} = x^{\frac{1}{4} }

Thus,  \sqrt{x}  \times \sqrt[4]{x} becomes

x^{\frac{1}{2} } \times x^{\frac{1}{4} }

Applying the multiplication law of indices, we get

x^{\frac{1}{2} + \frac{1}{4} }

= x^{\frac{3}{4} }

Hence, the given expression written in the simplest rational exponent form is x^{\frac{3}{4} }

Learn more on Writing an expression in exponent form here: brainly.com/question/4421494

#SPJ1

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