Unit 1b-2: Properties of Integer Exponents

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15 questions
1

Use the properties of exponents to write an equivalent expression for 2^{8}\cdot2^{4}

1

Use the properties of exponents to write an equivalent expression for \frac{8^{7}}{8^{3}}

1

Use the properties of exponents to write an equivalent expression for (3^{4})^{5}

1

How do you multiply powers that have the same base?

1

How do you divide powers that have the same base?

1

How do you find the power of a power?

1

Which expressions are equivalent to 2^{11}? Select all that apply.

1

Use the properties of exponents to write an equivalent expression for (4^{4})^{3}

1

Use the properties of exponents to write an equivalent expression for \frac{3^{12}}{3^{3}}

1

Use the properties of exponents to write an equivalent expression for 4^{5}\cdot4^{2}

1

Alberto incorrectly stated that \frac{5^{7}}{5^{4}} = 1^{3} . What was Alberto's error? Explain your reasoning and find the correct answer.

1

Is the expression 8 \cdot 8^{5} equivalent to (8 \cdot 8)^5? Explain.

1

Simplify the expression ((\frac{1}{2})^{3})^{3}

1

Your teacher asks the class to evaluate the expression (2^3)^1. Your classmate gives an incorrect answer of 16. Evaluate the expression.

1

On question 14, what was the likely error your classmate made?