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user100 [1]
3 years ago
12

I need to use the power rule (if m and n are real numbers and x doesn't equal 0, then (x^m)^n = x^mn... ) to simplify this fract

ion: (2x^2 y^-2 / y^5)^-3
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

= 2x^{-6}y ^{21}\\\\

Step-by-step explanation:

Given the indicinal expression  (2x^2 y^-2 / y^5)^-3

In indices

(x^m)^n = x^{mn

Applying to solve the question

(2x^2 y^{-2} / y^5)^{-3}\\\\= \frac{2x^{-6}y^6}{y^{-15}}\\=  2x^{-6} * \frac{y^6}{y^{-15}} \\= 2x^{-6} * y ^{6-(-15)}\\= 2x^{-6} * y ^{6+15}\\= 2x^{-6} * y ^{21}\\= 2x^{-6}y ^{21}\\\\

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Four adults are going on a 13 hour road trip. How long should each person drive if all four adults share the driving time equall
Doss [256]

Answer:

3hr. and 15min. each : )

Step-by-step explanation: Thank me for intelectual skills even if im wrong... Im very wise

4 0
2 years ago
Laura retired from her job recently, and she has saved about $414,731.00 over the course of her career. She plans to withdraw $2
ipn [44]

Answer:

15 months.

Step-by-step explanation:

Given:

Laura retired and saved about $414,731.00 over the course of her career.

She plans to withdraw $2,224.00 each month to pay for living expenses.

After a certain amount of time, the balance in Laura's account is $381,371.00

Question asked:

How many months have passed since Laura retired ?

Solution:

Let total number of months for which she withdrew = x

Total saving amount = $414,731

Unitary method:

In 1 month she withdrew =  $2,224

In x months she withdrew = \$2224x

Total withdrew amount =  \$2224x

Balance amount after x months = $381,371

<u>Balance amount = Total saving amount - Total withdrew amount</u>

381371=414731-2224x\\ \\ Subtracting\ both\ sides\ by\ 414731\\ \\ 381371-414731=414731-414731-2224x\\ \\- 33360=-2224x\\ \\ Minus\ canceled\ by\ minus\\ \\ 33360=2224x\\ \\ Dividing\ both\ sides\ by\ 2224\\ \\ \frac{33360}{2224} =\frac{2224x}{2224} \\ \\ 15=x

Thus, 15 months have passed since Laura retired.

5 0
3 years ago
PLEASE HELP!!! (20 POINTS)
LuckyWell [14K]
It’s either b or d give me a moment to get the positive answer
3 0
2 years ago
Choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8
Maru [420]

Answer:

f(x)=8x^2+73x-70

Step-by-step explanation:

We are given

zeros as -10 and 7/8

now, we can set up function as

f(x)=a(x-(-10))(x-\frac{7}{8})

now, we are given that

leading coefficient is 8

so, a=8

now, we can plug it

f(x)=8(x-(-10))(x-\frac{7}{8})

now, we can simplify it

f(x)=8\left(x^2+\frac{73x}{8}-\frac{35}{4}\right)

so, we get

f(x)=8x^2+73x-70

6 0
3 years ago
Answer this: Solve for X
Roman55 [17]

Answer:

x=27

Step-by-step explanation:

3x+9 is a right angle because 3x+9 + a right angle make a straight line

3x+9 +90 = 180

Subtract 90 from each side

3x+9 = 90

We now can solve for x

3x+9-9 = 90-9

3x = 81

Divide each side by 3

3x/3 = 81/3

x=27

7 0
3 years ago
Read 2 more answers
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