Classwork 2021-04-01

Part 1: Like yesterday, but harder.
Factor common terms from the numerator and denominator to generate an equivalent expression in lowest terms.

1

\frac{27}{27x+18}

1

\frac{4n-4}{6n-20}

Part 2: Rewriting fractional exponents as radicals
Write each expression in radical form using the rule x^{\frac{a}{b}}=(\sqrt[b]{x})^{a}

1

7^\frac{1}{2}

1

4^\frac{4}{3}

1

6^\frac{3}{2}

1

(5x)^{-\frac{5}{4}}

1

a^\frac{6}{5}

Part 3: Rewriting radicals as rational exponents
Write each expression as an integer raised to a rational power using the rule x^{\frac{a}{b}}=(\sqrt[b]{x})^{a}

1

(\sqrt{10})^3

1

\sqrt[6]{2}

1

(\sqrt[4]{2})^5

1

Part 4: Simplify
Evaluate the expression. Your answer may be a plain number or might include a variable.

1

36^\frac{3}{2}

1

(x^6)^\frac{1}{2}

1

(9n^4)^\frac{1}{2}

1

Part 1: Like yesterday, but harder.

\frac{27}{27x+18}

\frac{4n-4}{6n-20}

Part 2: Rewriting fractional exponents as radicals

7^\frac{1}{2}

4^\frac{4}{3}

6^\frac{3}{2}

(5x)^{-\frac{5}{4}}

a^\frac{6}{5}

Part 3: Rewriting radicals as rational exponents

(\sqrt{10})^3

\sqrt[6]{2}

(\sqrt[4]{2})^5

Part 4: Simplify

36^\frac{3}{2}

(x^6)^\frac{1}{2}

(9n^4)^\frac{1}{2}

BONUS:(64n^{12})^{-\frac{1}{6}}

BONUS:

(64n^{12})^{-\frac{1}{6}}