MATHEMATICS HIGH SCHOOL

Simplify. Write in radical form.
(x^3y^-2/xy)^-1/5

Answers

Answer 1
Answer:

Answer:

The radical form of the expression ((x^3y^(-2))/(xy))^{(-1)/(5)} is \sqrt[5]{(y^3)/(x^2)}

Step-by-step explanation:

 Given : ((x^3y^(-2))/(xy))^{(-1)/(5)}

We have to simplify the given expression and write in radical form.

RADICAL FORM is the simplest form of expression that do not involve any negative exponent and power is less than n, where n is the nth root of that expression.

Consider the given expression  ((x^3y^(-2))/(xy))^{(-1)/(5)}

Cancel out the common factor x, we get,

((x^2y^(-2))/(y))^{(-1)/(5)}

Using laws of exponents, a^(-m)=(1)/(a^m) , we have,

((x^2)/(y\cdot y^2))^{(-1)/(5)}

Using laws of exponents, x^m \cdot x^n=x^(m+n) , we have,

((x^2)/(y^3))^{(-1)/(5)}

Again using laws of exponents, a^(-m)=(1)/(a^m) , we have,

((y^3)/(x^2))^{(1)/(5)}

Also, written as  \sqrt[5]{(y^3)/(x^2)}

Thus, the radical form of the expression ((x^3y^(-2))/(xy))^{(-1)/(5)} is \sqrt[5]{(y^3)/(x^2)}
Answer 2
Answer: Hope this helped! Much luck!

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Ten times the quotient of 104 and 8. write as a expression

Answers

10 (104/8)
First you complete whats in the parenthesis. 104/8=13
Then multiply 13 by 10 to get 130
Expression:
10 × ( 104 ÷ 8)

Solution (if needed)
10 × 13 
130

A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solve an equation to find the price of each shrub.A. 5p + $12.50 = $62.50; p = $10.00

B. 5p + $12.50 = $62.50; p = $12.00

C. 5(p + $12.50) = $62.50; p = $7.75

D. 5p + 12.5p = $62.50; p = $3.57

Answers

The equation to find the price of each shrub is 5p + $12.50 = $62.50, the price of each shrub is $10, the correct option is A.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let p represents the cost for shrubs

The cost of potting soil is $12.50

The customer bought 5 shrubs

The total bill was $62.50

The equation formed is

5p + $12.50 = $62.50

5p = $50

p = $10.00

To know more about Equation

brainly.com/question/10413253

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62.50 - 10 - 10 - 10 - 10 - 10 (five times)= 12.50

Which values from the given replacement set make up the solution set of the inequality?m+7<18 ; {8, 9, 10, 11}




{8, 9}

{10, 11}

{8, 9, 10}

{9, 10, 11}

Answers

Answer:

8,9 10

Step-by-step explanation:

when u add them they are all less than 18

Name the missing numbers from the function table and write the function rule.

Answers

3rd one down on x is 6.because they are all subtracting 12.same goes for the last one on y.it is -22 because you are subtracting 12 from -10

At the Bronx Zoo, tickets for adults cost $28 and tickets for children cost $13. If 550 tickets are sold on Saturday for a total of $12,700, how many adult tickets were sold and how many children tickets were sold?

Answers

Answer:

Let a = number of adult tickets sold

c = number of children's tickets sold

28a + 13c = 12,700---->28a + 13c = 12,700

a + c = 550------->13a + 13c = 7,150

--------------------------

15a = 5,550

a = 370, c = 180

370 adult tickets, 180 children's tickets

For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?Both f(x) and g(x) cross the x-axis at 5.
Both f(x) and g(x) cross the y-axis at 5.
Both f(x) and g(x) have a maximum or minimum value at x = 5.
Both f(x) and g(x) have the same output value at x = 5.

Answers

The last statement is the valid one: both f(x) and g(x) have the same output value at x = 5.

f(x) at x = 5 is f(5), this is the output of the function f when x =5
g(x) at x = 5 is g(5), this is the output of the function g when x =5

Then the two output have the same value at x =5.

Answer:

D)  Both f(x) and g(x) have the same output value at x = 5.

Step-by-step explanation:

Got it right on the exam :)
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