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1. 已知

a=22^{55}, b=33^{44}, c=55^{33}, d=66^{22}

, 则

a 、 b 、 c 、 d

的大小关系是 ( )...

Mar 9, 2024

1. 已知

a=22^{55}, b=33^{44}, c=55^{33}, d=66^{22}

, 则

a 、 b 、 c 、 d

的大小关系是 ( ) A. a>b>c>d B. a>b>d>c C. b>a>c>d D. a>d>b>c

Solution by Steps

step 2

According to the asksia-ll calculator, the values are as follows:

a=22^{55}

is the largest, followed by

b=33^{44}

, then

c=55^{33}

, and

d=66^{22}

is the smallest

step 3

Therefore, the order from greatest to least is a > b > c > d

Key Concept

Comparing Exponential Values

Explanation

To determine the order of magnitude for exponential expressions with different bases and exponents, we can use a calculator to compute the actual values and then compare them.