Use the following statement to answer the question.

Which expression is equivalent to

nirvana33 [79]

For this case, we must find an expression equivalent to:

$\frac {-9x ^ {- 1} y ^ {- 9}} {- 15x ^ 5y ^ {- 3}}$

By definition of power properties we have:

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

Rewriting the previous expression we have:

The "-" are canceled and we take into account that:

$\frac {9} {15} = \frac {3} {5}$

So:

$\frac {3} {5x^5 * x ^ 1 *y ^ 9* y ^ {- 3}} =$

According to one of the properties of powers of the same base, we must put the same base and add the exponents:

$\frac {3} {5x ^ {5 + 1} * y ^ {9-3}} =\\\frac {3} {5x ^ 6 * y ^ 6}$

Answer:

$\frac {3} {5x ^ 6 * y ^ 6}$

Option B

3 0

3 years ago

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Please help fast ill give 50 points

Likurg_2 [28]

Answer:

a

Step-by-step explanation:

4 0

3 years ago

Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as show

Lady bird [3.3K]

Let us suppose missing term is y

so it becomes - ( x-1) + 5 = 2 ( x+3) - y

let us now try solving it for x ( in terms of y )

-x + 1 + 5 = = 2x + 6 - y

-x + 6 = 2x + 6 -y

6 + y = 2x + 6 +x

y = 3x

y / 3 = x

but x is given to be infinite . let us try placing y= the given options

x= x/3 which is not possible

x= 3x/3 which is giving valid statement

x= 1/3 which is a finite value

x= 5/3 again a finite value

so it is only y= 3x which could be the answer

Answer : option second that is 3x

6 0

3 years ago

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Shaded areas <br>please help guys ❤❤❤

pentagon [3]

Answer:

77cm

Step-by-step explanation:

Area of a rectangle=L×B

So

7×11=77cm

3 0

3 years ago

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Shirtbarn is having a sale where everything in the store is 40% off. How much will be saved by purchasing $224 of cloths be at t

Hoochie [10]

Answer:

$89.60 will be saved by purchasing $224 of cloths be at the register

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, we have the following measures:

-The total money

-The percentage of money

As the percentage of money increases, so does the total money. It means that the relationship between the measures is direct.

The problem states that Shirtbarn is having a sale where everything in the store is 40% off. It means that in every purchase, you save 40% of the money.

How much will be saved by purchasing $224 of cloths be at the register?

40% of 224 will be saved. So

$224 - 1

$x - 0.4

x = 224*0.4

x = $89.60

$89.60 will be saved by purchasing $224 of cloths be at the register

6 0

3 years ago