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GaryK [48]
3 years ago
12

What is 6x6x6x6x6 in exponential form

Mathematics
2 answers:
melisa1 [442]3 years ago
6 0

Answer:

6x6x6x6x6 in exponential form is, 6^5

Step-by-step explanation:

Using the exponent rules:

a^2 = a\cdot a

a^3 = a \cdot a \cdot a

a^4 = a \cdot a \cdot a \cdot a

a^5 = a\cdot a \cdot a \cdot a \cdot a and so on....

As per the statement:

6x6x6x6x6

To write this in exponential form.

By exponent rules:

6 repeats five times.

6 \times 6 \times 6 \times 6 \times 6  = 6^5

Therefore,  6x6x6x6x6 in exponential form is, 6^5

REY [17]3 years ago
5 0
\underbrace{6\cdot6\cdot6\cdot6\cdot6}_{5}=6^5
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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
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Answer:

5 trees should be planted to maximize the yield per acre,

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Step-by-step explanation:

Given,

The original number of trees per acre = 20,

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Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

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Thus, the total yield per acre,

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Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

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⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

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i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

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