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lina2011 [118]
2 years ago
6

Mathematics 13 don’t understand

Mathematics
1 answer:
UNO [17]2 years ago
6 0

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  \dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}

_____

<em>Additional comment</em>

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  (x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6

Consider division:

  \dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

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lisov135 [29]

Answer:

4

Step-by-step explanation:

Hope this helps!! Have a good day!

4 0
2 years ago
Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42
Fed [463]
Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
8 0
3 years ago
The cost of a ticket to an amusement park is $42 per person. for each group of up to eight people the cost per ticket decreases
zalisa [80]
This might not be correct but....
I’m going to use rounding,
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3 years ago
PLZ HELP
Scrat [10]

Answer: Ix - 950°C I ≤ 250°.

Step-by-step explanation:

Ok, the limits are:

700°C to 1200°C.

The first step is to find the mean these numbers:

M = (700°C + 1200°C)/2 = 950°C

Now let's find the distance between the mean and the limits (which is equal to half the difference between our numbers)

D = (1200°C - 700°C)/2 = 250°C.

Now we can write our relation as:

Ix - MI ≤ D

Ix - 950°C I ≤ 250°.

if x = 1200°C.

I1200°C - 950°CI = 250°C ≤ 250°C ---- true.

if x = 700°C

I700°C - 950°CI = I-250°CI = 250°C ≤ 250°C ---- true

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Kaylis [27]
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