Math

QuestionSimplify 101^{0} using exponent properties and show only positive exponents.

Studdy Solution

STEP 1

Assumptions1. The expression given is 101^{0}. . We need to simplify the expression using the properties of exponents.
3. We need to expand any numerical portion of our answer.
4. Our final answer should only include positive exponents.

STEP 2

The property of exponents states that any number (except0) raised to the power of0 is1. This is because any number divided by itself equals1, and raising a number to the power of0 is like dividing the number by itself.
a0=1,fora0a^{0} =1, \quad for \quad a \neq0

STEP 3

Now, plug in the given value for a to calculate the result.
10=11^{0} =1The expression 101^{0} simplifies to1.

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