Download Use rational exponents to simplify small 7 Subtract. Simplify by

Use rational exponents to simplify small 7
1
7
x
14
7
1  1 7 1

  2
x14  x14 
x
Subtract. Simplify by collecting like radical terms if possible 5 48 -9 3  20 3  9 3  11 3
Use rational exponents to write small 3 (7 )*small 2 5 as a single radical expression.
1
3
1
7  2 5  73  52
Something is missing in this question
Simplify by factoring Assume that all expressions under radicals represent non negative numbers

Small 3 (32x^8 )= 32 x8
1
3
1
  2  4 (x )
3
2 3
1
 x2 3  2 x2  4 x2 3  2 x2 3 4 x2
Add or subtract. Simplify by collecting like radical terms 4 2 -3 2+6 2= (4  3  6) 2  7 2
Solve
)=5 the solution for y is 11.
Find the length of side A in the right triangle, if B=12 and c=13 a= 132  122  25  5
Television sets. What does it mean to refer to a 20 in TV set or a 25-in TV set? Such units refer to the
diagonal of the screen. A 30 in TV set also has a width of 24 inches. What is its height?
Height =
302  242  900  576  324  18 inches
= simplify by taking roots of the numerator and denominator. Assume all variables represent
positive numbers
16 4

y2 y

^7= 13 3x 4 y 7  3x 4 y 7
Rewrite with rational exponents small 13
1
13

1
4
7
 313 x13 y 13
Use the laws of exponents to simplify 5^(3/4)*5^(1/8)= simplify your answer
3
1
7
5 4  58  5 8
Multiply
(
Simplify small 3
-
)= 30  110
1
3
1
3 3
 
= 216  6
3
6
1
3
6
Multiply and simplify assume that all expressions under the radicals represent non negative numbers
= 18x7  3x3 2 x
Divide then simplify by taking root if possible

3
1
250 3 250 3
3


125

125
5
3
2
2
Subtract Simplify by collecting like radical terms if possible Assume that all expressions under radicals
represent non negative numbers
1
-
1
 1250 x3  3  10 x4  3  5x 10 x  3  x 10 x  3  4 x 10 x  3  4 x 3 10 x
1
1
1
Multiply and simplify by factoring
1
1
1
1
small 4 16* small 4 128=  16 4 128 4  2  2  8  4  4   8  4  4 4 8
Solve for y small 4 y-8 =2
1
 1 4
1
1
1
1

2
Or,  8   2  2  2  y 2   y 
y
2
2 2
y 
Find the following. Assume that A and B can represent any real number small 418 (a+b)^ 418 =|a+b|
Simplify 16^(3/2) = 64
Find the following. Assume that x can represent any real number. Use absolute value notation when
necessary.
=|2x|
Multiply simplify the answer (7+ 5)(7- 5)=24
The formula r=2 5L can be used to approximate the speed r, in miles per hour, of a car that has left skid
marks of length of L, in feet. How far will a car skid at 50 mph? IN Feet
50  5 5 L  25  5 L  L 
625
 125 ft
5
Multiply ( 2+1)(7 2+1) the answer is
( 2  1)(7 2  1)  14  7 2  2  1  15  8 2