Which Giant Is Larger

Algebra Level 2

2 6 2 or 4 2 4 \Huge 2^{6^2}\qquad \text{or} \qquad 4^{2^4}

Which of these numbers is larger?

2 6 2 2^{6^2} 4 2 4 4^{2^4} They are the same

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Zandra Vinegar by Zandra Vinegar

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2 solutions

Mateus Gomes
Feb 11, 2016

2 6 2 = 2 36 \Huge \color{#3D99F6}{2}^{\color{#D61F06}{6}^{\color{#3D99F6}{2}}}=\Huge \color{#3D99F6}{2}^{\color{#D61F06}{36}} 4 2 4 = 4 16 = 2 32 \Huge\color{#20A900}{4}^{\color{#69047E}{2}^{\color{#20A900}{4}}}=\Huge \color{#20A900}{4}^{\color{#69047E}{16}}=\Huge \color{#20A900}{2}^{\color{#69047E}{32}}

2 6 2 > 4 2 4 {\boxed{\Huge \color{#3D99F6}{2}^{\color{#D61F06}{6}^{\color{#3D99F6}{2}}}>\color{#20A900}{4}^{\color{#69047E}{2}^{\color{#20A900}{4}}}}}

7 Helpful 0 Interesting 0 Brilliant 0 Confused
Imran Ansari
Feb 18, 2016

Same as @Mateus Gomes

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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