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crimeas [40]
3 years ago
13

When this exponent is applied to a nonzero base, the result is always 1

Mathematics
2 answers:
aleksandrvk [35]3 years ago
4 0
<span>Question :Why is it that any number raised to the power zero is equal to 1 and not zero ?
<span>
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>
Free_Kalibri [48]3 years ago
4 0
When the exponent zero is applied to a nonzero base, the result is always 1.

1^0 = 1\\2^0=1\\3^0=1\\...
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Which of the following equations is equivalent to 4[x + 2(3x – 7)] = 22x – 65?
pickupchik [31]

Answer:

X= -3/2

Step-by-step explanation:

6x/6=-9/6

6 0
3 years ago
Sally purchased a Pokemon game for $10.50, and a racing game for $6.50 with a $20 bill. How much change did Sally get?
pantera1 [17]

Answer:

$3

Step-by-step explanation:

1. Add the total of the price. 10.50+6.50=17 The total of the items cost $17.

2. Subtract the cost from the amount you are paying. 20-17=3 Sally gets $3 of change.

7 0
3 years ago
Read 2 more answers
Adam wants to ride her bicycle more than 80 miles this week, he has already ridden his bicycle 18 miles. Which inequality could
timofeeve [1]

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C.

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8 0
3 years ago
Find the area and perimeter of the shape below. Help plzzz.
kozerog [31]
Find the area of each shape and add.Let's start with the first semi-circle(half-circle)
If the area of a circle is πr² , then the area of a semi-circle is 1/2πr² where is 22/7 or 3.14, and r is the radius which is 1.8 meters
A=1/2πr²
A=1/2*22/7*1.8*1.8
A=5.09 m²(rounded to nearest hundredth)
Since the semi-circles are two and have the same radius, multiply the area of the first one by two or go through the same process again.
So 5.09 *2=10.18meters square is the area of the two semi-circles
Now, let's find the area of a rectangle  which is length times width, where length is 6 meters and width is (1.8+1.8, because 1.8 is half the width)=3.6 meters
A=l*w
A=6*3.6
A=21.6meters square
Therefore the area of the shape is 10.18m²+21.6m²=219.888m²
4 0
3 years ago
What is the area of triangle UVW
kogti [31]

This is a polygon with vertices on the lattice.  Let's use Pick's Theorem,

A = (1/2) B + I - 1

where A is the area, B is the number of lattice points on the boundary and I is the number of lattice points in the interior.

In addition to the 3 vertices there are 3 more boundary points on UV and 6 more on WV, none on UV, B=3+3+6=12.   In the interior I count I=9 lattice points.

A = (1/2) 12 + 9 - 1 = 14

Answer: 14

Obviously they just want us to say this is a right triangle, so the legs are altitude and base,

A = (1/2) b h (1/2) |UW| |WV| = (1/2) (4) (7) = 14

That checks.

7 0
3 years ago
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