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:

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

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