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Ludmilka [50]
3 years ago
15

Can you explain to me how exponents work?

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

You can't combine exponents when the bases aren't the same.

x^{2}   "x" is where the base is

For example:

(x^{2} )(y^4)=x^2y^4     (the bases are x and y)

\frac{x^3}{y^7} =\frac{x^3}{y^7}


When an exponent is multiplied directly to another exponent, you multiply the exponents together.

For example:

(x^{2} )^4=x^{2(4)}=x^8

(x^3)^5=x^{3(5)}=x^{15}

(2x^{2})^2  You can look at it like this:  

(2^1x^{2} )^2=2^{1(2)}x^{2(2)} = 2^2x^4=4x^4


When a variable with an exponent is multiplied by a variable with an exponent, you add the exponents together.

For example:

(x^{2} )(x^{3} )=x^{2+3}=x^5

(x^3)(x^4)=x^{3+4}=x^7

(2x)(x^2)=2x^{1+2}=2x^3


When an exponent is divided by an exponent, you subtract the exponents.

For example:

\frac{x^5}{x^3} =x^{5-3}=x^2

\frac{y^4}{y^1}=y^{4-1}=y^3


When an exponent is negative, you move the number and its exponent to the other side of the fraction to make the exponent positive.

For example:

x^{-3} or \frac{x^{-3}}{1}=\frac{1}{x^3}

x^{-2}=\frac{1}{x^2}

\frac{1}{y^{-5}}=\frac{y^5}{1} or y^{5}


LuckyWell [14K]3 years ago
4 0

Answer:

1^2 is one squared which means

1x1

1^3 is

1x1x1

2^4 is

2x2x2x2 which equals 16

Step-by-step explanation:


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Which properties are present in a table that represents an exponential function in the form y-b* when b &gt; 1?
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Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is  y=b^x  where b > 1

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Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

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This is TRUE.

Option I and Option IV are true.

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3 years ago
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Slav-nsk [51]

Notice the following pattern:

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