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Classwork 2021-04-01

By Sam Schneider
Last updated about 1 year ago
17 Questions

Part 1: Like yesterday, but harder.

Factor common terms from the numerator and denominator to generate an equivalent expression in lowest terms.

\frac{27}{27x+18}

\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}

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

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

(\sqrt{10})^3

\sqrt[6]{2}

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

Part 4: Simplify

Evaluate the expression. Your answer may be a plain number or might include a variable.

36^\frac{3}{2}

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

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

BONUS:

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