<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>
Answer:
55% of the students surveyed said their favorite color was blue
Step-by-step explanation:
as a percent = 55%, or 0.55 in decimal form.
Answer:
1/1
Step-by-step explanation:
if u divide 4 divided by 4 then its 1
Answer:
we need a picture
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
We know that AD=BC and that AB=CD. We also know the perimeter of the rectangle ABCD to be 54 units.
From this, we can add up the sides which will be equal to 54 units.
AD+BC+AB+CD=54
2x+2x+3x-3+3x-3=54
10x=60
x=6
Since we are trying to find the length of side BC we substitute this value back into 2x.
BC=2x =2*6=12
Therefore, the length of BC is 12 units.
