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klemol [59]
3 years ago
14

Simplify the expression x^-4×y^3×x^4×y^2.

Mathematics
1 answer:
Llana [10]3 years ago
4 0

For simplifying an expression like this where the same bases with different exponents are to be multiplied, remember the Product rule. It says that when multiplying two or more powers having the same base (x and y in this case), you must add the exponents. For example, here in this expression there are two x's and two y's with different powers so you can simple add the powers of x and for y like shown below:

x^-4×y^3×x^4×y^2

= x^(-4+4) × y^(3+2)

=x^1 × y^5

since x^1 = x so we can omit the power 1 and write x instead.

xy^5 (here the power 5 only raises y and not x since it is not applied to whole)

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Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of​ peanuts, 12 ounces of​ raisins, 11 ounces of​ w
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Answer:

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

Step-by-step explanation:

He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.

1 pound  = 16 ounces

1 1/8 pounds = ? ounces

cross multiply

1 1/8 × 16

9/8 × 16 = 18 ounces

Therefore,

His trail mix are

18 ounces of peanuts

12 ounces of raisins

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7 ounces of pretzels

The total weight = 18 + 12 + 11 + 7 = 48 ounces

Weight of the trail mix = 48 ounces

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

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3 years ago
Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using where x is the number of
CaHeK987 [17]

Answer:

The number of skateboard company sell during the month of August = 55

Step-by-step explanation:

We have given,

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We can use the profit formula given for Bob's profit:

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or 0 = x² + 10x - 3575

or x = 55, -65

Since number of skate boards can not be negative.

So we consider x= 55

Hence the number of skateboard company sell during the month of August = 55.

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