Radicals - Division with Mixed Index and Power of Radicand (Integer) - Radical over Radical (Level 2)

Division with Mixed Index and Power of Radicand (Integer) - Radical over Radical (Level 2)

This math topic focuses on simplifying radical expressions involving operations such as division with mixed indices and varying powers of the radicand, resulting in a radical over radical structure. Each problem presents a radical expression and asks for the integer result after simplification. This involves understanding and applying properties of radicals and exponents to simplify complex radical expressions featuring division of different root values with exponentiation.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

ViewUnit

Radicals - Division with Mixed Index and Power of Radicand (Integer) - Radical over Radical Worksheet

Radicals - Division with Mixed Index and Power of Radicand (Integer) - Radical over Radical

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{2-th root of 16 to the power of 3 }{3-th root of 16 to the power of 3 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{2-th root of 81 to the power of 2 }{3-th root of 27 to the power of 4 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{3-th root of 27 to the power of 4 }{2-th root of 27 to the power of 2 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{3-th root of 64 to the power of 3 }{2-th root of 8 to the power of 2 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{2-th root of 16 to the power of 2 }{3-th root of 8 to the power of 2 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{2-th root of 16 to the power of 3 }{3-th root of 8 to the power of 2 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{2-th root of 16 to the power of 2 }{3-th root of 8 to the power of 4 }$

What integer does this radical expression simplify to?

$A LaTex expression showing \frac{2-th root of 16 to the power of 3 }{3-th root of 8 to the power of 5 }$