Simplify each expression.- (3n“ 6 r 4 2 3. (7a)~2
- (2x§) 3 x 2 27. (2y5)-3
- (3b~ 2 ) 2 (a 2 h4) 3 31. 4j2k6(2jn f k 5
Simplify. Write each answer in scientific notation.
- (3 X 10 5) 2 3 5. (4 X 10 2) 5
- (7.4 X 10 4) 2 39. (6.25 X lCT12) - 2
24. (5y2)4
28. (rkf
32. (mg 4 )_ 1 (mg4)
36. (2 X 1(T10)3 - (3.5 X 10 -4)3
Se e Pr o b l e m s 3 an d 4.- (36g4)-!
- (y 2 z“ 3 ) 6 (j/3)2
- (2j2k4)~5(k~1j7) 6
Se e Pr o b l e m 5.- (2 X 1(T3)3
- (2.37 X 10 8) 3
- Geometry Ihe radius of a cylinder is 7.8 X 10 -4 m. The height of the cylinder is
3.4 X 10 -2 m. What is the volume of the cylinder? Write your answer in scientific
notation. (Hint: V = irr2h)
Complete each equation.
- (b2)m = b8
- (n9)! = n
- (5x )2 = 25.V 4
44. (m )a = m 12
47. (y 4) - j/3
50. (3x3y )3 = 27x9
45. (xm)7 = x 6
48. 7(c1) = 7cl
51. (m 2 n3)®s = — m n - Think About a Plan How many times the volume of the small cube is
the volume of the large cube?- What expression can you write for the volume of the small cube? For
the volume of the large cube? - What property of exponents can you use to simplify the volume
expressions?
- What expression can you write for the volume of the small cube? For
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111/Simplify each expression.
- 32(3x)3
- (-5x)2 + 5x 2
- 4xy 204 (-yp 3
6 x- (4.1) 5 (4.1)-5
- ( - 2 fllh) 3 (ah5)3
- (10 3 ) 4 (4.3 X 10'8)
55. (bs)3bs
58. (2x_3)2(0.2x)2
61. (3 7 ) 2 (3-4)3 - Reasoning Simplify (x ) and x 2. Are the expressions equivalent? Explain.
- a. Error Analysis What mistake did the student make in simplifying the
expression at the right?
b. What is the correct simplified form of the expression? - Wind Energy The power generated by a wind turbine depends on the wind speed.
The expression 800v 3 gives the power in watts for a certain wind turbine at wind
speed v in meters per second. If the wind speed triples, by what factor does the
power generated by the wind turbine increase? - Can you write the expression 49x2y 2 z 2 using only one exponent? Show how or
explain why not.
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Lesso n 7-3 More Multiplication Properties of Exponents^437