Mathematics: Simplify. In the form of a paragraph, explain in complete sentences the steps necessary to simplify the expression and include the final answer in your explanation. Complete your work in the space provided. (x^3y over xy^2) ^-2

Simplify. In the form of a paragraph, explain in

Ответ:

munozjosue258

21.01.2022

Mathematics

y^2/x^4

Step-by-step explanation:

Description

The fraction inside parentheses can be simplified by using the rule that an exponent in the denominator is the same as the opposite of that exponent in the numerator. Then factors with the same base can be combined by adding their exponents. Parentheses are eliminated by multiplying each exponent by the one outside the parentheses. Then any factors with negative exponents can be replaced by ones in the denominator with the opposite exponent.

Work

$\left(\dfrac{x^3y}{xy^2}\right)^{-2}=(x^3yx^{-1}y{-2})^{-2}=(x^{3-1}y^{1-2})^{-2}\\\\=(x^2y^{-1})^{-2}=x^{2(-2)}y^{(-1)(-2)}=x^{-4}y^2\\\\=\boxed{\dfrac{y^2}{x^4}}$

0,0(0 оценок)

Ответ:

fatherbamboo

13.08.2021

Mathematics

$160,463 will be available for daughter college expense o her 18th birthday.

Explanation:

According to the Given Condition;

Deposit Amount = $2,400

Rate of Return = 9%

Size of Deposit increase every year at 7%

Hence the Growing Annuity is

Annuity = $2400 * \frac{1}{0.09 - 0.07} * [1 - (\frac{1+0.07}{1+0.09})^{18} ] (1.09)^{18}$

Annuity = $160,463

Thus, $160,463 will be available for daughter college expense o her 18th birthday.

0,0(0 оценок)

Simplify. In the form of a paragraph, explain in complete sentences the steps necessary to simplify the expression and include the final answer in your explanation. Complete your work in the space provided.
(x^3y over xy^2) ^-2

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question