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

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

Ответ:

linhlema2005

31.12.2021

Mathematics

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

Step-by-step explanation:

Given : $(\frac{x^3y^{-2}}{xy})^{\frac{-1}{5}}$

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 $(\frac{x^3y^{-2}}{xy})^{\frac{-1}{5}}$

Cancel out the common factor x, we get,

$(\frac{x^2y^{-2}}{y})^{\frac{-1}{5}}$

Using laws of exponents, $a^{-m}=\frac{1}{a^m}$ , we have,

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

Using laws of exponents, $x^m \cdot x^n=x^{m+n}$ , we have,

$(\frac{x^2}{y^3})^{\frac{-1}{5}}$

Again using laws of exponents, $a^{-m}=\frac{1}{a^m}$ , we have,

$(\frac{y^3}{x^2})^{\frac{1}{5}}$

Also, written as $\sqrt[5]{\dfrac{y^3}{x^2}}$

Thus, the radical form of the expression $(\frac{x^3y^{-2}}{xy})^{\frac{-1}{5}}$ is $\sqrt[5]{\dfrac{y^3}{x^2}}$

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Ответ:

cjs39

18.08.2020

Mathematics

16 + 8b ≥ 50

4500

Step-by-step explanation:

He needs at least 50 rooms and has already reserved 16

They are in groups of 8

16 + 8b ≥ 50

Subtract 16 from each side

16+8b-16 ≥ 50 -16

8b≥ 34

Divide by 6

8b/8 ≥ 34/8

b≥ 4.25

We need to round up since we need at least 50

b = 5 since we want the least amount of rooms

Each block is 900

5*900 = 4500 more that he will have to spend

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

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