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Mrrafil [7]
3 years ago
13

f What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the po

wer of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?
Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0
//5^-3 = 1/(5^3)
(2^2*5^6)/(5^3*2^3*5^2)=
(2^2*2^-3)*(5^6*5^-3*5^-2)=
(2^-1)*(5^1)=
5/2=
2.5=
Nady [450]3 years ago
4 0

Answer:

The simplified expression  is: \frac{5}{2}.

Step-by-step explanation:

We have been given an expression:

\frac{5^{-3}\cdot 2^2\cdot 5^6}{2^3\cdot 5^2}

We will simplify it by adding powers of the terms which have same base  

So first we will simplify numerator and denominator individually so we get:

\frac{5^3\cdot 2^2}{2^3\cdot 5^2}

Cancel the powers of the term with same base

\Rightarrow \frac{5}{2}

Hence, the simplified expression of:

\frac{5^{-3}\cdot 2^2\cdot 5^6}{2^3\cdot 5^2}=\frac{5}{2}.



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5 0
3 years ago
Read 2 more answers
Beulah used 3/5 pounds of dough, 3/4 pound of sugar, &amp; 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

               =  121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0
3 years ago
I have test corrections and I'm having trouble figuring out what I did wrong. I just need how to get the answer and I should be
Mrrafil [7]

Answer:

The answer is 68 :D

Step-by-step explanation:

(Just read the whole comment ;P)

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The equation is just 5 3/4 times 3 1/3. You make the denominators the same by multiplying them by each other. It will be 5 3/12 times 3 1/12. Now you times these two together. You can do this part yourself because it will be confusing on here. I hope i helped atleast a little.
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2 years ago
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nignag [31]

the answer is 9.74972315 I hope you have the right answer I hope this is helpful


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3 years ago
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