HON ALG Ch 5 Review (lessons 1-4, Sci Not, Radicals)

​What do you call a running turkey?

​Fast food

Honors Algebra
Ch 5 Review
Lessons 1-4
Scientific Notation
Rational Exponents

​What is 1,450,000 in scientific notation?

Multiple Choice

Convert 0.000000045 to scientific notation.

• $$4.5\ \times\ 10^{-9}$$

• $$4.5\ \times\ 10^{-8}$$

• $$4.5\ \times\ 10^{-7}$$

• $$45\ \times\ 10^{-9}$$

Multiple Choice

Simplify completely.

• $$-\frac{1}{10,000a^4}$$

• $$-\frac{ba^4}{10^4}$$

• $$-\frac{a^4}{10,000}$$

• $$\frac{a^4}{10,000}$$

Multiple Choice

Write the answer as a base with an exponent.

• $$12^4$$

• $$12^5$$

• $$12^6$$

• $$12^{14}$$

Multiple Choice

Please put the answer in proper scientific notation.

• $$0.32\ \times\ 10^{-77}$$

• $$3.2\ \times\ 10^{-77}$$

• $$3.2\ \times\ 10^{-3}$$

• $$3.2\ \times\ 10^{-4}$$

Multiple Choice

Please put the answer in proper scientific notation.

• $$6.4\ \times\ 10^{25}$$

• $$3.2\ \times\ 10^{25}$$

• $$6.4\ \times\ 10^{11}$$

• $$3.2\ \times\ 10^{11}$$

​Dividing with Exponents

Multiple Choice

Complete the operations and simplify.

• $$\frac{3x^7}{2y^6}$$

• $$\frac{27x^{12}}{8y^9}$$

• $$\frac{6x^{12}}{5y^9}$$

• $$\frac{9x^7}{6y^6}$$

Multiple Choice

Please simplify completely.

• $$32a^{11}$$

• $$16a^{11}$$

• $$16a^{10}$$

• $$32a^{10}$$

​Rational (think fractional) Exponents

Math Response

Re-write this with a rational exponent.

Type answer here

Correct Answer: x^{\frac{1}{3}}

Deg^°

Rad

​Simplifying Radical Expressions

Multiple Choice

Add and simplify the expression.

• Cannot be added, because they are not like terms.

• $$\sqrt[2]{2}$$

• $$-\sqrt[2]{2}$$

• $$-2\sqrt[2]{17}$$

Multiple Choice

$$\sqrt[3]{216x^4y^2}$$

Simplify.

• $$6x^2y\sqrt[3]{6}$$

• Cannot be simplified.

• $$x\sqrt[3]{216xy^2}$$

• $$6x\sqrt[3]{xy^2}$$

Multiple Choice

$$\sqrt[2]{50}\ \ \cdot\ 3\ \sqrt[2]{2}$$

Complete the operation and simplify.

• $$15\sqrt[2]{2}$$

• 30

• $$4\sqrt[2]{100}$$