[SUB. Assignment 10/07] --> Product/Quotient of Powers

Rewrite in Rational Form:

$$y^{\frac{3}{4}}\times y^{\frac{1}{3}}$$

Simplify & Rewrite in Rational Form:

$$\sqrt[3]{x}\times x^{\frac{11}{9}}$$

Rewrite in Rational Form:

$$\frac{z^3}{z^{\frac{1}{2}}}$$

Rewrite in Rational Form:

$$\frac{\sqrt[]{a}}{\sqrt[6]{a^5}}$$

Simplify & Rewrite in Rational Form:

$$\sqrt[4]{z}\times z^{\frac{5}{8}}$$

Rewrite in Rational Form:

$$a^{\frac{2}{5}}\times a^{\frac{3}{10}}$$

Rewrite in Rational Form:

$$\frac{b^{\frac{1}{5}}}{b^2}$$

When multiplying ​the same base, you must ​ (a)   the exponents.

On the other hand, when dividing the same base, you must ​ (b)   the exponents.

Simplify & Rewrite in Rational Form:

$$\sqrt[5]{b}\times b^{\frac{7}{10}}$$

Rewrite in Rational Form:

$$c^{\frac{4}{7}}\times c^{\frac{2}{3}}$$