The upper-left coordinates on a rectangle are (-6,0), and the upper-right coordinates are (-4,0). The

Simplify the expression. x4y−4z−2x2y−2z4 y2x2z6 the fraction with numerator y squared and denominator x squared z to the 6th pow

Kaylis [27]

Given:

Consider the given expression is:

$\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}$

To find:

The simplified form of the given expression.

Solution:

We have,

$\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}$

By using the quotient property of exponents, we get

$=x^{4-2}y^{-4-(-2)}z^{-2-4}$ $\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]$

$=x^{2}y^{-4+2}z^{-6}$

$=x^{2}y^{-2}z^{-6}$

By using negative exponent property, we get

$=\dfrac{x^{2}}{y^{2}z^{6}}$ $\left[\because a^{-n}=\dfrac{1}{a^n}\right]$

The simplified form of the given expression is $\dfrac{x^{2}}{y^{2}z^{6}}$ .

Therefore, the correct option is B.

4 0

3 years ago

Thulani goes to the library every 7 days. He goes to the market every 4 days

emmasim [6.3K]

Thulani goes to both the library and the market for 5 more times during the year.

Step-by-step explanation:

Thulani goes to the library every 7 days. He goes to the market every 4 days.

We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.

The factors of 7 are: 1 x 7

The factors of 4 are: 2 x 2

Therefore, the LCM would be = 1 x 7 x 2 x 2

LCM = 28

LCM indicates that Thulani will go to both places on every 28th day.

To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'

$n = \frac{Number of days}{frequency}$

Here frequency represents the LCM = 28.

The number of days are:

August: 30 (we are excluding 1st August)

September: 30

October: 31

November: 30

December: 31

Total = 152

By putting the values in formula, we get

$n = \frac{152}{28}$

n = 5.42

As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.

Learn more:

The following links have more information

brainly.com/question/12419898

brainly.com/question/12764620

Keywords: LCM, same day

#learnwithBrainly

7 0

3 years ago

Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice,

ruslelena [56]

Answer:

.75

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the slope of line<br> 4x+6y=24

Varvara68 [4.7K]

Y=mx+b
m is the slope
you need to get y on one side and all other numbers on the other
so here's the easiest way to do it:
just kinda take 4x (which is a positive number) and move it to the other side and change the sign. so then it turns into 6y=-4x+24 and then you divide both sides by 6 so then you get y=-4/6x+4 (4 over 6 like a fraction)
-4/6 is the slope

3 0

3 years ago

If the area of a rectangle is 200 cm2, and its length is 50 cm, what is its breadth

Karo-lina-s [1.5K]

Answer:

Breadth or width = 4

Step-by-step explanation:

Givens

Area = 200 cm^2

L = 50 cm

w = ?

Formula

A = L*w

Solution

200 = 50 * w Divide by 50

200 / 50 = w

w = 4

5 0

2 years ago