If the expression is written in rational exponent notation, rewrite notation, rewrite it in radical notation. If the the expression is written in radical notation, rewrite it in rational exponent notation.

If the expression is written in rational exponent notation rewrite notation rewrite it in radical notation If the the expression is written in radical notation class=

Respuesta :

The expressions can be rewritten using the rule of exponent:

[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]

QUESTION A

[tex]\sqrt[3]{12}[/tex]

In rational exponent form, we have the expression to be:

[tex]\Rightarrow12^{\frac{1}{3}}[/tex]

QUESTION B

[tex]\sqrt[4]{10^7}[/tex]

In rational exponent form, the expression will be:

[tex]\Rightarrow10^{\frac{7}{4}}[/tex]

QUESTION C

[tex]14^{\frac{2}{5}}[/tex]

In radical form, the expression will be:

[tex]\Rightarrow\sqrt[5]{14^2}[/tex]

QUESTION D

[tex]\sqrt[8]{15^3}[/tex]

In rational exponent form, the expression will be:

[tex]\Rightarrow15^{\frac{3}{8}}[/tex]

QUESTION E

[tex]21^{\frac{9}{4}}[/tex]

In radical form, the expression will be:

[tex]\Rightarrow\sqrt[4]{21^9}[/tex]