<span>Question :Why is it that any number raised to the power zero is equal to 1 and not zero ?
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Answer :</span><span>When a number is raise to the power 0, we are not actually multiplying the particular number by 0. For example, let us take 20. In this case we are not actually multiplying the number 2 by 0.
We define 20 = 1, so that each power of 2 is one factor of 2 larger than the last, e.g., 1,2,4,8,16,32...</span><span>This involves the rules of exponents particularly division.
If a is a number and x and y are also numbers, then according to the rule of division for powers with the same base,
a^x/a^y = a^(x - y).
It says the quotient of two powers with the same base is equal to the common base raise to the exponent equal to the difference between x and y.
So, if x = y, then a^x/a^y = a^(x -y) = a^0
But a^x is equal to a^y, since x = y; hence a^x/a^y = 1
Therefore, by Transitive property of Equality,
a^0 = 1
Thus, this result says that number raised to the power zero is equal to 1.</span></span>
Red Perimeter= 4u X π= 4uπ
Blue Perimeter= u X π= uπ
Red Area= 2u X 2u X π= 4u2π
Blue Area= u X u X π= u2π
Answer:
Data-table is the correct approach of recording numerical information from an experiment
Step-by-step explanation:
A data-table is a group of related facts arranged in labeled rows and columns and is used to record information. Its purpose is to help sort, analyze and compare data gathered from a science experiment or research project. Knowing how to create a data table demonstrates skills in organizing information in a meaningful way and provides a learning base to progress to more sophisticated ways to track data.