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Unit 1b-2: Properties of Integer Exponents

Last updated almost 2 years ago

15 Nsɛmmisa

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1.

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

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2.

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

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3.

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

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4.

How do you multiply powers that have the same base?

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5.

How do you divide powers that have the same base?

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6.

How do you find the power of a power?

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7.

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

2^{7}\cdot2^{4}

\frac{2^{9}}{2^{2}}

2^{2}\cdot2^{9}

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8.

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

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9.

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

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10.

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

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11.

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

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12.

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

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13.

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

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14.

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

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15.

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