Lesson Menu. Over Lesson 7–2 5-Minute Check 1 Splash Screen Rational Exponents Lesson 7-3.
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Transcript of Lesson Menu. Over Lesson 7–2 5-Minute Check 1 Splash Screen Rational Exponents Lesson 7-3.
Understand how to rewrite and evaluate expressions involving rational exponents and solve equations containing rational expressions.
LEARNING GOAL
Radical and Exponential Forms
Answer: 9
Write each expression in radical form, or write each radical in exponential form.
= 9 Simplify.
Radical and Exponential Forms
Write each expression in radical form, or write each radical in exponential form.
Solve Exponential Equations
A. Solve 9x = 729.
Answer: 3
9x = 729 Original equation
9x = 93 Rewrite 729 as 93.
x = 3 Power Property of equality
Solve Exponential Equations
B. Solve 162x – 1 = 8.
162x – 1 = 8 Original equation
(24)2x – 1 = 23 Rewrite 16 as 24 and 8 as 23.
28x – 4 = 23 Power of a Power, Distributive Property
8x – 4 = 3 Power Property of Equality
8x = 7 Add 4 to each side.Divide each side by 8.
Answer:
BIOLOGY The population p of a culture that begins
with 40 bacteria and doubles every 8 hours can be
modeled by , where t is time in hours. Find
t if p = 20,480.
Original equation
p = 20,480
Divide each side by 40.
Solve Exponential Equations
Solve Exponential Equations
Rewrite 512 as 29.
72 = t Multiply each side by 8.
Power Property of Equality
Answer: 72
NEWS The number of hits to a news story online
can be modeled by , where t is time in
hours. Find t if h = 24,576.