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Evaluate the following expressions:

A. 11^0
B. 11^2

Are the answers to parts a and b the same? Explain why or why not.

1 Answer

4 votes

Any number (except zero) raised to the power of zero is one:


11^0=1

On the other hand, by definition, the square of a number is that number multiplied by itself:


11^2=11\cdot 11 = 121

So, the two answer are not the same:


11^0\\eq 11^2

After all, the exponential function


y=11^x

is injective, which means that, given
x_1\\eq x_2, we have


11^(x_1)\\eq 11^(x_2)

User Legrandviking
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