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

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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

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

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