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EastWind [94]
3 years ago
11

Write expression using a single exponent. (2^4)^2)^5

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0
\left(\left(2^4\right)^2\right)^5=\\
\left(2^{4\cdot2}\right)^5=\\
2^{4\cdot2\cdot5}=\\
2^{40}
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Please help me solve this problem.
Tasya [4]

Let

x-------> total peanuts originally from the bag

we know that

1) Phillip took 1/3 of the peanuts from the bag--------> (1/3)*x

remaining=x-(1/3)*x-------> (2/3)*x

2) Joy took 1/4 of the remaining peanuts-------> (1/4)*[(2/3)*x]----> (1/6)*x

remaining= (2/3)*x-(1/6)*x------> (1/2)*x

3) Brett took 1/2 of the remaining peanuts------> (1/2)*(1/2)*x-----> (1/4)*x

remaining= (1/2)*x-(1/4)*x-------> (1/4)*x

4) Preston took 10 peanuts------> 10

(1/4)*x-10=71----> multiply by 4 both sides----> x-40=284----> x=324 peanuts

5) Total originally peanuts from the bag is equal to 324 peanuts

6) Phillip took (1/3)*x-----> (1/3)*324=108 peanuts

7) Joy took (1/6)*x------> (1/6)*324=54 peanuts

8) Brett took (1/4)*x------> (1/4)*324=81 peanuts

9) Preston took 10

so

check

108+54+81+10=253

remaining=324-253------> remaining=71-------> is correct

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The class president wants to survey the students at the high school about the selection of food offered by the school cafeteria.
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Answer:

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Step-by-step explanation:

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