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Question 3X1127INXRewrite in simplest rational exponent form VxVx. Show each step of your process.

Question 3X1127INXRewrite In Simplest Rational Exponent Form VxVx Show Each Step Of Your Process class=

Sagot :

Given

[tex]\sqrt[]{x}\cdot\sqrt[4]{x}[/tex]

So, we have that

[tex]\begin{gathered} \sqrt[]{x}=x^{\frac{1}{2}} \\ \sqrt[4]{x}=x^{\frac{1}{4}} \end{gathered}[/tex]

Therefore, the expression given is

[tex]x^{\frac{1}{2}}\cdot x^{\frac{1}{4}}[/tex]

Apply the laws of exponents

[tex]x^{\frac{1}{2}+\frac{1}{4}}=x^{\frac{3}{4}}[/tex]

Answer:

[tex]x^{\frac{3}{4}}[/tex]