Help with rational expressions

Oct 27th, 2015
DotaCN
Category:
Mathematics
Price: $5 USD

Question description

Which of the following shows the expression below in radical form? 

c to the power of 2 over 5 end exponent


a. 5 root of c squared end root

b. 2 root of c to the power of 5 end root

c. square root of c to the power of 5 over 2 end exponent end root

d. root index 2 over 5 of c




Simplify the expression. 

left parenthesis 1 over 16 right parenthesis to the power of bevelled 1 fourth end exponent


a. 4

b. 2

c. bevelled 1 fourth

d. bevelled 1 half



Simplify the expression.

4 to the power of bevelled 5 over 2 end exponent


a. 10

b. 32

c. 4.5

d. 6.5



Which of the following shows the expression below in radical form?

left parenthesis x cubed right parenthesis to the power of 5 over 6 end exponent


a. 3 root of x to the power of 5 end root

b. 6 root of x to the power of 5 end root

c. 5 root of x squared end root

d. 2 root of x to the power of 5 end root



Evaluate the expression. 

27 to the power of begin display style 1 third end style end exponent over 9 to the power of begin display style 1 half end style end exponent


3

1

0

9



Simplify the expression.

x to the power of 6 over 5 end exponent • space x to the power of 4 over 5 end exponent


a. x to the power of 24 over 5 end exponent

b. x squared

c. x to the power of 1 half end exponent

d. x to the power of 5



Simplify the expression.

left parenthesis negative 64 right parenthesis to the power of bevelled fraction numerator negative 2 over denominator 3 end fraction end exponent


a. 1 over 16

b. negative 1 over 16

c. -512

d. 512



Use the properties of exponents to simplify the expression. Write with positive exponents.

fraction numerator left parenthesis m squared n right parenthesis to the power of begin display style bevelled 1 fourth end style end exponent over denominator m to the power of begin display style bevelled fraction numerator negative 1 over denominator 2 end fraction end style end exponent n to the power of begin display style bevelled 5 over 8 end style end exponent end fraction


a. n to the power of 2 divided by 5 end exponent over m

b. m to the power of begin display style bevelled 2 over 5 end style end exponent over m to the power of begin display style bevelled 1 fourth end style end exponent

c. m over n to the power of begin display style bevelled 3 over 8 end style end exponent

d. m to the power of begin display style bevelled 1 fourth end style end exponent over n to the power of begin display style bevelled 3 over 8 end style end exponent



Use rational exponents to write as a single radical expression.

cube root of y squared end root space • space root index 6 of y


a. root index 18 of y cubed end root

b. y to the power of 6

c. root index 6 of y to the power of 5 end root

d.y fifth root of y



Use rational exponents to write as a single radical expression. 

cube root of 5 space • space square root of 2


a. root index 6 of 10

b. root index 6 of 100000

c. fourth root of 10

d. root index 6 of 200




Tutor Answer

(Top Tutor) Daniel C.
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School: UCLA
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