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# Rules of Exponents

Adding 10 to itself 10 times gives 100, but how can we represent 10 multiplied to itself 10 times?

# Comparing Exponential Magnitudes - Warmup

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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