2. Key Concept: Power of a Power Example 1: Find the Power of a Power
Main Idea
Key Concept: Power of a Power
Example 1: Find the Power of a Power
Example 2: Find the Power of a Power
Key Concept: Power of a Product
Example 3: Power of a Product
Example 4: Power of a Product
Example 5: Real-World Example
Lesson Menu

3. Use laws of exponents to find powers of monomials.
Main Idea/Vocabulary

4. Key Concept

5. Find the Power of a Power
Simplify (52)8.
(52)8 = 52 • 8 Power of a Power
= 516 Simplify.
Answer: 516
Example 1

6. Simplify (79)3.
A. 73
B. 76
C. 712
D. 727
Example 1 CYP

7. Find the Power of a Power
Simplify (a3)7.
(a3)7 = a3 • 7 Power of a Power
= a21 Simplify.
Answer: a21
Example 2

8. Simplify (d5)5.
A. d25
B. d5
C. d1
D. d0
Example 2 CYP

9. Key Concept 3

10. (3c4)3 = 33 • c4 • 3 Power of a Product = 27c12 Simplify.
Simplify (3c4)3.
(3c4)3 = 33 • c4 • 3 Power of a Product
= 27c12 Simplify.
Answer: 27c12
Example 3

11. Simplify (8r7)2.
A. 8r14
B. 16r14
C. 64r9
D. 64r14
Example 3 CYP

12. (–4p5q)2 = (–4)2 • p5 • 2 • q2 Power of a Product = 16p10q2 Simplify.
Simplify (–4p5q)2.
(–4p5q)2 = (–4)2 • p5 • 2 • q2 Power of a Product
= 16p10q2 Simplify.
Answer: 16p10q2
Example 4

13. Simplify (–6s2t 9)3. A. –216s6t 27 B. –216s5t 12 C. –18s6t 27
D. –18s5t 12
Example 4 CYP

14. V = (6mn7)3 Replace s with 6mn7. V = 63(m1)3(n7)3 Power of a Product
GEOMETRY Find the volume of a cube with side lengths of 6mn7. Express as a monomial.
V = s3 Volume of a cube
V = (6mn7)3 Replace s with 6mn7.
V = 63(m1)3(n7)3 Power of a Product
V = 216m3n21 Simplify.
Answer: The volume of the cube is 216m3n21 cubic units.
Example 5

15. GEOMETRY Find the area of a square with side lengths of 5q8r5
GEOMETRY Find the area of a square with side lengths of 5q8r5. Express as a monomial.
A. 10q10r7
B. 10q16r10
C. 25q10r7
D. 25q16r10
Example 5 CYP