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AURORKA [14]
3 years ago
10

Plz help me .....simplify the ratio of 0,0064kg to 32 grams​

Mathematics
1 answer:
Degger [83]3 years ago
4 0

9514 1404 393

Answer:

  1/5

Step-by-step explanation:

1 kg = 1000 g so your ratio is ...

  \dfrac{0.0064\text{ kg}}{32\text{ g}}=\dfrac{0.0064\cdot1000\text{ g}}{32\text{ g}}=\dfrac{6.4}{32}=\boxed{\dfrac{1}{5}}

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What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4
KatRina [158]

You can use the fact that  a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got a^{-b} . then it can be rewritten as

a^{-b}  = \dfrac{1}{a^b}

It is because a^0 = 1 for any a except 0, and that  \dfrac{a^0}{a^b} = a^{0-b} = a^{-b}

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is \dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}

Putting m = -5 and n=3, we get:

\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}

Thus,

The value of the given expression when m = -5 and n= 3 is -\dfrac{2}{5}

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0
2 years ago
1<br> Solve:<br> -8–2k=-2(k+4)
Olegator [25]

Answer:

zero=0

Explanation:

-8-2k=-2(k+4)

-8-2k=-2k-8

-2k+2k=-8+8

zero=0

4 0
3 years ago
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disa [49]
4:3 (simplified) and 16:12 (doubled) both work
Hope this helps!
8 0
3 years ago
I need the answer for all of these questions. Can anyone help me please ?
Marat540 [252]

for 2 and so on

Step-by-step explanation:

for number 2= measure the angle with the protractor and thats the answer

for number 3= A

for number 4= add 41 and 82 then do 180- that number

8 0
3 years ago
A sector of a circle has an area of 55cm if the radius is 10cm calculate the angle of the sector​
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Answer:

Step-by-step explanation:

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