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IRISSAK [1]
3 years ago
14

Which expression is equivalent to 3^2 ⋅ 3^−5?

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0

The answer to 3^2 ⋅ 3^−5 is 1/27=.037

The answer is 1/27

otez555 [7]3 years ago
4 0

Answer:

\frac{1}{27}

Step-by-step explanation:

3^2 ⋅ 3^−5

3^2 \cdot 3^{-5}

To multiply the exponents we apply exponential property

a^m \cdot a^n = a^{m+n}

When we multiply the exponents with same base then we add the exponents

3^2 \cdot 3^{-5}, both terms has same base . so we add the exponents.

3^2 \cdot 3^{-5}=3^{2-5}= 3^{-3}

Now we make the exponent positive

a^{-m}= \frac{1}{a^m}

3^{-3}= \frac{1}{3^3}=\frac{1}{27}

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evablogger [386]

Alright, lets get started.

Height of the bin = 4 ft

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Volume of the bin = L*W*H

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Volume V= 396 cubic feet

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or

1 cubic feet is filled by = 6 books

So, 396 cubic feet is filles by = 396 * 6

So, 396 cubic feet is filles by =2376 books

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Question:

A grocery store has 120 bottles of spring water in stock.  The store orders bottles of spring water in cases of 24.  The store wants to order enough cases of spring water so it has more than 500 bottles in stock.  Which inequality best models this situation?

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B.  24x - 120 > 500

C.  24x + 500 > 120

D.  24(x+120) > 500

Answer:

Option  A.  24x + 120 > 500  is the inequality that best models this situation.

Step-by-step explanation:

The Number of bottles of spring  water in the stock = 120

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The store wants  to order enough cases of spring water so  that it has over 500 bottles in stock.

So there are already 120 bottles in stock .

The store will order

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the degree is the highest exponent found in the algebraic expression

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