Express \$(root(3)(a^4 b^5))^2\$ using exponential notation.

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

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

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

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

Convert \$root(4)(x^3 y^2)^5\$ to an expression with positive exponents only.

A) \$(x^2 y^2)^(4/5)\$

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

C) \$(x^3 y^2)^(5/4)\$

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

Represent \$(root(5)(m^6 n^7))^3\$ using exponents.

A) \$(m^(6/5) n^7)^(3/5)\$

B) \$(m^7 n^6)^(5/3)\$

C) \$(m^6 n^(3/5))\$

D) \$(m^6 n^7)^(3/5)\$

Write \$(root(6)(p^5 q^3))^4\$ in exponential form.

A) \$(p^5 q^3)^(2/3)\$

B) \$(p^3 q^2)\$

C) \$(p^5 q^3)^(3/2)\$

D)\$(p^5 q^2)\$

Convert \$root(3)(((2x^3 y^2)^3)/((3x^2 y)^3))\$ to an expression with positive exponents.

A) \$(2x^3 y^2)/(3x^2 y)\$

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

C) \$((2x^3 y^2)^2/3)/(3x^2)\$

D) \$((2x^3 y^2)^2/3)/(3x^2 y)\$

Express \$ 3(\sqrtx^5) \$ ​ using exponents.

A) \$ 3x^(5/2) \$

B) \$ 2x^(5/2) \$

C) \$ 2x^(3/2) \$

D) \$ 3x^(1/2) \$

Write \$ \sqrt(x ^7y ^5) \$​ in exponential form.

A) \$ x^(7/2) y^(5/2) \$

B) \$ x^(7/2) y^(1/2) \$

C) \$ x^(3/2) y^(5/2) \$

D) \$ x^(5/2) y^(3/2) \$

Simplify the expression \$ (root(3)(p^2/q^5))^6 \$ using exponents.

A) \$ p^4/q^12 \$

B) \$ p^4/q^10 \$

C) \$ p^2/q^10 \$

D) \$ p^6/q^12 \$

Convert \$ root(4)(g)^9 \$ into an expression with exponents.

A) \$ g^(1/4) \$

B) \$ g^(5/4) \$

C) \$ g^(9/4) \$

D) \$ g^(7/4) \$

Sarah wants to simplify the expression \$ root(3)(a^4b^6) \$ using exponents. What is the simplified form in terms of a and b?

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

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

C) \$ a^(1/3) b^2 \$

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