1. 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.
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2. 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.
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3. 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