Algebra
# Rules of Exponents

Which is bigger...

$\large A = \frac{33^2}{22^2}$

OR

$\large B = \frac{33^{3}}{22^{3}}$

Which of these options is the largest?

$\begin{array}{l l l } A & = & 4^5 \\ B & = & 2^5 \times 2^5 \\ C & = & 2^3 \times 4^2 \times 8 \\ \end{array}$

Which is bigger...

$\large A = \frac{3^2}{2^3}$

OR

$\large B = \frac{9^{4}}{4^{6}}$

Given:

$\large A = 3^{30.1}$ $\large B = 9^{15.1}$ $\large C = 27^{10.1}$

Order $A, B$ and $C$ from largest to smallest.

Which is larger:

$\large A = \left(5^1\right)^3 \quad \text{ or } \quad B = 5 ^{\left({1^3}\right)}$