Help with rational expressions

in CIPD HR Experts UK/by CIPD HELP

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

$c^{\frac{2}{5}}$

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.

$(\frac{1}{16})^{\frac{1}{4}}$

d. $bevelled 1 half$

Simplify the expression.

$4^{\frac{5}{2}}$

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.

$\frac{27^{\frac{1}{3}}}{9^{\frac{1}{2}}}$

b. $x squared$

c. $x to the power of 1 half end exponent$

d. $x to the power of 5$

Simplify the expression.

$(- 64)^{\frac{- 2}{3}}$

b. $negative 1 over 16$

c. -512

d. 512

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

$\frac{(m^{2} n)^{\frac{1}{4}}}{m^{\frac{- 1}{2}} n^{\frac{5}{8}}}$

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.

$\sqrt[3]{y^{2}} • \sqrt[6]{y}$

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.

$\sqrt[3]{5} • \sqrt{2}$

b. $root index 6 of 100000$

c. $fourth root of 10$

d. $root index 6 of 200$

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