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**Power Rules Simplify (7p5)3. (7p5)3 = 73(p5)3**

COURSE 3 LESSON 7-4 Power Rules Simplify (7p5)3. (7p5)3 = 73(p5)3 Raise each factor to the third power. = 73p15 = 343p15 Multiply the exponents. Simplify. 7-4

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COURSE 3 LESSON 7-4 Power Rules Use the formula for the area of a circle, A = r2, to find the area of a circle with a radius of 4 10–2 m. Write the answer in scientific notation. Use 3.14 for the value of . A = r2 = 3.14 • (4 10–2)2 Substitute 4 10–2 for r. = 3.14 • 42 (10–2)2 Raise the product to a power. = 3.14 • 16 10–4 Raise 10–2 to the second power. = 10–4 Multiply 3.14 and 16. = 10–3 Write in scientific notation. The area of the circle is about 10–3 m2. 7-4

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**Power Rules 1. Write (9–3)8 using a single exponent. 9–24**

COURSE 3 LESSON 7-4 Power Rules 1. Write (9–3)8 using a single exponent. 2. Simplify (2a6)3. 3. Find the area of a circle whose radius is 5 10–7 m. Use 3.14 for . 9–24 8a18 7.85 10–13 m2 7-4

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