Algebra

Rules of Exponents

Comparing Exponential Magnitudes - Warmup

         

Which is bigger...

A=332222 \large A = \frac{33^2}{22^2}

OR

B=333223 \large B = \frac{33^{3}}{22^{3}}

Which of these options is the largest?

A=45B=25×25C=23×42×8 \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...

A=3223 \large A = \frac{3^2}{2^3}

OR

B=9446 \large B = \frac{9^{4}}{4^{6}}

Given:

A=330.1 \large A = 3^{30.1} B=915.1 \large B = 9^{15.1} C=2710.1 \large C = 27^{10.1}

Order A,BA, B and CC from largest to smallest.

Which is larger:

A=(51)3 or B=5(13)\large A = \left(5^1\right)^3 \quad \text{ or } \quad B = 5 ^{\left({1^3}\right)}

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