EXERCISE 2 1. Show that: 5.2 -2**2 = 2* 9* +32x+1 = 4.32x (a) (b) 22x-1+4*+1 = 2 22x (d) 2*+3-2*+2 = 2*+2 (c) (e) 2.10-5*+1.2* = 3.10* (f) 21 +32-x 3* 4.31-x %3D 2. Simplify the following: 1025*+1 X10" 2 4"x15"-2 (a) 6+2 5* 50*-1 (b) (c) 6.9*+12 8".6"-3 27**1 2-1 (d) 2*+2 -2*+3 16h-13- (e) 9* +32x+1 2*+1 2*+2 (f) 3.2 -2x-1 (g) 4* +22x-1 18.21-* 2* +2*+2 (h) (i) 2.3*+2 +3x-3L 22x-1 3. Simplify the following: 22x - 2* 5.3x-2 (a) 22x -1 (b) 9* -9 (c) 2 -1 2 +1 16-4* 3* -3 (d) 2 -4 POWERS WITH RATIONAL EXPONENTS EXAMPLE 5 Simplify the following without using a calculator. (a) The exponent is rational (a fraction) -(2, = 2 3 LAW 3 = 22 = 4 1250
EXERCISE 2 1. Show that: 5.2 -2**2 = 2* 9* +32x+1 = 4.32x (a) (b) 22x-1+4*+1 = 2 22x (d) 2*+3-2*+2 = 2*+2 (c) (e) 2.10-5*+1.2* = 3.10* (f) 21 +32-x 3* 4.31-x %3D 2. Simplify the following: 1025*+1 X10" 2 4"x15"-2 (a) 6+2 5* 50*-1 (b) (c) 6.9*+12 8".6"-3 27**1 2-1 (d) 2*+2 -2*+3 16h-13- (e) 9* +32x+1 2*+1 2*+2 (f) 3.2 -2x-1 (g) 4* +22x-1 18.21-* 2* +2*+2 (h) (i) 2.3*+2 +3x-3L 22x-1 3. Simplify the following: 22x - 2* 5.3x-2 (a) 22x -1 (b) 9* -9 (c) 2 -1 2 +1 16-4* 3* -3 (d) 2 -4 POWERS WITH RATIONAL EXPONENTS EXAMPLE 5 Simplify the following without using a calculator. (a) The exponent is rational (a fraction) -(2, = 2 3 LAW 3 = 22 = 4 1250
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(3 +1)
EXERCISE 2
1.
Show that:
5.2 -2**2 = 2*
9* +32x+1 = 4.32x'
(a)
(b)
%3D
9
(c)
22x-1
+4*+1
(d)
2*+3
72*+2 = 2*+2
(e)
2.10 -5*+1.2* = -3.10*
4.31-x
+32-x
(f)
21
3*
Simplify the following:
10* 25*+1
2.
(a)
4.
6n+2 x10"-2
(b)
5*.50*-1
8".6"-3 91-n
16"-3"
6*9**12X
27*+1.2*-1
4" x15"-2
(c)
(d)
2*+2
-2*+3
(e)
9* +32x+1
2*+1
-2*+2
(f)
3.2*-2*-1
18*.21-*
(g)
4* +22x-1
2* + 2*+2
(h)
2.3*+2
(i)
+3*-3L
22x-1
3.
Simplify the following:
22x-2*
5.3*-2
(а)
22x-1
2 -1
(b)
9* -9
2 +1
(c)
3*- 3
16-4*
(d)
2* – 4
POWERS WITH RATIONAL EXPONENTS
EXAMPLE 5
Simplify the following without using a calculator.
(a)
The exponent is rational (a fraction)
LAW 3
= 22
= 4
1250
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