Big Ideas Math::Assignment Preview

Big Ideas Math::Assignment Preview

1/31/17, 7:20 AM

Big Ideas Math ©2015 HS Algebra 1: Common Core Edition

Section 6.2 Exercises Radicals and Rational Exponents Exercise 21 Rewrite (−4)

2/7

in radical form.

(−4)2/7 =

Exercise 23 Evaluate 323/5 . 4 8 16 Not a real number

Exercise 24 Evaluate 1252/3 . 5 25 15,625 Not a real number

Exercise 25 3/2

Evaluate (−36)

.

–216 –6 216 Not a real number

Exercise 27 5/7

Evaluate (−128)

.

–32 –64 64 Not a real number

Exercise 30

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Big Ideas Math::Assignment Preview

1/31/17, 7:20 AM

Which is the best description of the error in evaluating the expression?

The expression (−3)3 simplifies to

27, not −27 .

The number −81 does not have a real fourth root. The right side of the first line should read [(−81)

1/3

4

] .

4

The right side of the first line should read (−813 ) . Correct the error by evaluating the expression. 9 27 243 not a real number

Exercise 32 Evaluate (

1/6

1 ) 64

. Express your answer as a fraction in simplest form.

The solution is

.

Exercise 33 −2/3

Evaluate (27)

. Express your answer as a fraction in simplest form.

The solution is

.

Exercise 41 A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. Use the formula r

=(

1/n

F ) P

− 1 to find the annual inflation rate r to the nearest tenth

of a percent, where n is the number of years during which the value increases from P to F .

The annual inflation rate is about

%.

Exercise 42 The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. Use the formula r

=(

1/n

F ) P

− 1 to find the annual inflation rate r to the nearest

tenth of a percent, where n is the number of years during which the value increases from P to F .

The rate is about

%.

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Big Ideas Math::Assignment Preview

1/31/17, 7:20 AM

Exercise 45 Simplify

3

(y 1/6 ) ⋅ √x .

x1/2 y xy 1/2 (xy)1/2 x1/2 y 19/6

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