Rational Exponents, algebra homework help

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

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

A.

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

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

3 root of c squared end root

A.

c to the power of 6

B.

c to the power of 2 over 3 end exponent

C.

c to the power of 3 over 2 end exponent

D.

c cubed

Evaluate the expression.

32 to the power of 1 fifth end exponent


6.4

33554432

2

16

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.

y to the power of begin display style 3 over 5 end style end exponent over y to the power of begin display style 1 over 10 end style end exponent

A.

1 over y to the power of begin display style 7 over 10 end style end exponent

B.

1 over y to the power of begin display style 1 half end style end exponent

C.

y to the power of 1 half end exponent

D.

y to the power of 7 over 10 end exponent

Simplify the expression.

square root of z space • space 3 root of z squared end root

A.

z

B.

z to the power of 5 space 3 root of z

C.

z squared space square root of z

D.

z space root index 6 of z to the power of blank end root

Simplify the expression.

fraction numerator x y over denominator square root of x end fraction

A.

x squared y

B.

y square root of x

C.

square root of x y end root

D.

y square root of x squared end root

Simplify the expression.

fraction numerator 8 to the power of begin display style 1 over 6 end style end exponent space minus space 9 to the power of begin display style 1 fourth end style end exponent over denominator square root of 3 space plus thin space square root of 2 end fraction

A. 6 root of 108 space minus space 6 root of 2 to the power of 5 end root space plus space square root of 6 space minus space 3
B. minus 5 space plus space 2 square root of 6
C. 6 root of 8 square root of 3 space plus space 6 root of 8 square root of 2 space minus space 4 root of 9 square root of 3 space minus space 4 root of 9 square root of 2
D. square root of 5 space 6 root of 8 space minus space square root of 5 space 4 root of 9