Question Type 3: Rewriting expressions to apply exponent rules Exercises

Simplify $(3^4\cdot3^{-2})^3$ and write the result as $3^n$.

Simplify $(7^0\cdot7^5)/7^2$ and write the answer as $7^n$.

Express $5^3\cdot25^2$ as $5^n$.

Simplify $\frac{4^5}{8^2}$ and express your answer as $2^n$.

Express $(16\cdot2^{-3})^{-2}$ as $2^n$.

Express $(32/2^3)^4$ as $2^n$.

Simplify $(x^{\tfrac12}\cdot x^{\tfrac34})^2$ and write the result as $x^n$.

Write $\displaystyle\frac{9^{3/2}}{3}$ as $3^n$.

Express $27^{2/3}\cdot9^{1/2}$ as $3^n$.

Express $(8\cdot 2^{20}/2^{14})^{11}$ as $2^n$.

Simplify $\bigl(\tfrac{81}{3^4}\bigr)^{-1}$ and express it as $3^n$.

Express $\displaystyle\frac{2^5\cdot4^{-2}\cdot8^3}{16}$ as $2^n$.