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Serga [27]
3 years ago
12

Len wants to write the number 100000 using a base of 10 and an exponent. What number should he use as the exponent

Mathematics
2 answers:
salantis [7]3 years ago
6 0
10 to the 5th power which equals 100,000
charle [14.2K]3 years ago
6 0

For this case what we must do is use a base as a number and an exponent.

We must write an expression of the form:

b ^ a

Where,

b: base

a: exponent

We then have the following number:

100000

We can write the number as:

100000 = 10 * 10 * 10 * 10 * 10

By definition we have:

In the multiplication, if we have the same base, the exponents are added:

100000 = 10 ^ {(1 + 1 + 1 + 1 + 1)}\\100000 = 10 ^ 5

Answer:

A number that should have used as the exponent is:

5

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anyanavicka [17]
Hello !
If you mist find the area of the rhombus,you need to calculate the length of the diagonals. 

We have the rhombus ABCD.The diagonals are are AC and BD .
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<span> M (m₁,m₂) ; N (n₁,n₂) ⇒  MN = \sqrt{ (m_{1} - n_{1})^{2} + (m_{2} - n_{2})^{2} }
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Now it's simple to calculate the diagonals :

AC =  \sqrt{ (-4-6)^{2} +(-2-8)^{2}} \\ \\ AC= \sqrt{ (-10)^{2} + (-10)^{2} } \\\\AC = \sqrt{ 100+100} \\\\ AC =\sqrt{ 200 } \\\\AC=10 \sqrt{2}  \\  \\  \\ BD = \sqrt{ (-2-4)^{2} + 6^{2} } \\\\BD=\sqrt{ (-6)^{2} + 6^{2} }\\\\BD= \sqrt{6^{2}+6^{2}} \\\\BD= \sqrt{36+36} \\\\BD= \sqrt{72} \\\\BD=6 \sqrt{2}



The area is : \frac{AC*BD}{2} = \frac{ 10\sqrt{2} * 6\sqrt{2} }{2} = \frac{60*2}{2} =60


Answer: 60 u²



The representation is below.
Have a nice day :)

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Soo what do you need help with? It seems pretty easy. I can help you if you want.
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