114: Rational Exponents

Bell Assignment: Rationalize each

1

\LARGE \frac{5}{\sqrt{45}}

1

\LARGE \frac{8}{9+\sqrt{3}}

Notes L6-6: Rational Exponents
Think about how you simplify roots, then you know that:
\sqrt[n]{x^a}=x^\frac{a}{n}

1

Write with a rational expontent:
\sqrt[7]{x^2}

1

Write with a rational expontent:
\sqrt[6]{x}

1

Write as a radical:
x^{\frac{3}{4}}

1

write as a radical:
(2x^2-7)^\frac{1}{2}

1

Reminder: What does x^{-1} mean?

1

How would you simplfy: \frac{1}{x^{-2}}

1

rewrite as a radical: (5x)^{-\frac{1}{2}}

1

rewrite: \frac{1}{3x^{-\frac{5}{2}}}

1

Simplfy:
\sqrt{-100x^4y^8}

1

Simplify. Use rational exponents as needed:
\sqrt[4]{16x^{14}y^{18}}

0

Choose all that are true

Finish all but the last section of DeltaMath.

Bell Assignment: Rationalize each

\LARGE \frac{5}{\sqrt{45}}

\LARGE \frac{8}{9+\sqrt{3}}

Notes L6-6: Rational Exponents

Think about how you simplify roots, then you know that:

\sqrt[n]{x^a}=x^\frac{a}{n}

Write with a rational expontent:\sqrt[7]{x^2}

Write with a rational expontent:\sqrt[6]{x}

Write as a radical:x^{\frac{3}{4}}

write as a radical:(2x^2-7)^\frac{1}{2}

Reminder: What does x^{-1} mean?

How would you simplfy: \frac{1}{x^{-2}}

rewrite as a radical: (5x)^{-\frac{1}{2}}

rewrite: \frac{1}{3x^{-\frac{5}{2}}}

Simplfy:\sqrt{-100x^4y^8}

Simplify. Use rational exponents as needed:\sqrt[4]{16x^{14}y^{18}}

Choose all that are true

Write with a rational expontent:
\sqrt[7]{x^2}

Write with a rational expontent:
\sqrt[6]{x}

Write as a radical:
x^{\frac{3}{4}}

write as a radical:
(2x^2-7)^\frac{1}{2}

Simplfy:
\sqrt{-100x^4y^8}

Simplify. Use rational exponents as needed:
\sqrt[4]{16x^{14}y^{18}}