Simplify \$ (\sqrt a)^4 \$ and write your answer using exponents.

A) \$ a^3 \$

B) \$ a^2 \$

C) \$ a^4 \$

D) \$ a^6 \$

Simplify the expression \$ root(3)(a^2b^4)^2 \$ using exponents.

A) \$ a^(1/3) b^(8/3) \$

B) \$ a^(4/3) b^(5/3) \$

C) \$ a^(4/3) b^(8/3) \$

D) \$ a^(5/3) b^(7/3) \$

Convert \$ (root(4)(mn))^8 \$ into an expression with exponents.

A) \$ m^3 n^3 \$

B) \$ m^4 n^2 \$

C) \$ m^2 n^4 \$

D) \$ m^2 n^2 \$

A square root of \$ x^8y^6 \$ must be expressed using exponents. Write down the simplified form.

A) \$ x^4 y^3 \$

B) \$ x^4 y^4 \$

C) \$ x^4 y^2 \$

D) \$ x^3 y^3 \$

Change the following radical expressions to exponential expressions. \$ (root(7)(e^5 f^6))^2 \$.

A) \$ (e^(10/7))f^(12/7)​ \$

B) \$ (e^1 f^2)^(1/7)​ \$

C) \$ (e^10 f^12)^(3/7)​ \$

D) \$ (e^10 f^12)^(5/7)​ \$

Express \$(root(5)(4 a^3 b^6))^2\$ using exponents.

A) \$(4 a^3 b^6)^(2/5)\$

B) \$(7 a^3 b^6)^(5/2)\$

C) \$(4 a^3 b^6)^(5/2)\$

D) \$(4 a^3 b^3)^(2/5)\$

Convert \$(root(6)(x^4 y^3))^5\$ into an expression with rational exponents.

A) \$(x^4 y^3)^(5/6)\$

B) \$(x^3 y^4)^(6/5)\$

C) \$(x^4 y^4)^(6/5)\$

D) \$(x^4 y^4)^(5/6)\$

Represent \$(root(7)((x^5 y^4)/z^3))^3\$ using exponents.

A) \$((x^5 y^4)/z^(3/7))^(7/3)\$

B) \$((x^5 y^4)/z^3)^(3/7)\$

C) \$((x^5 y^4)/z^(3/7))^(3/7)\$

D) \$((x^5 y^4)/z^3)^(7/3)\$

Write \$(root(4)(3 a^2 b^3))^6\$ in exponential notation.

A) \$(3 a^3 b^2)^(3/2)\$

B) \$(3 a^2 b^2)^(2/3)\$

C) \$(3 a^2 b^3)^(3/2)\$

D) \$(3 a^3 b^3)^(3/2)\$

Convert \$root(3)((2x^3 y)^4 \times (3xy^2)^2)\$ to an expression involving exponents.

A) \$(2x^3 y)^(3/4) \times (3xy^2)^(3/2)\$

B) \$(2x^3)^((4y)/3) \times (3x^2)^(2/3)\$

C) \$(2x^3 y)^(2/3) \times (3xy^2)^(4/3)\$

D) \$(2x^3 y)^(4/3) \times (3xy^2)^(2/3)\$