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4 years ago

Write (27a^-3)^-2/3 in simpleset form

Mathematics

2 answers:

Luden [163]4 years ago

4 0

Answer:

a²/9

Step-by-step explanation:

(27a⁻³) (-⅔) = 27^(-⅔) × (a⁻³)^(-⅔)

= (3³)^(-⅔) × a²

= 3⁻²a²

= a²/9

Alona [7]4 years ago

3 0

Answer:

write (27a^-3)^-2/3 in simpleset form

Step-by-step explanation:

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Please help me with geometry. Theres only 3 questions i need help with

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3 years ago

Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin

Ksivusya [100]

3.

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3 years ago

A rope is 84 meters long is cut int two pieces so that one piece is 18 meters longer than the other. What is the length of each

Tpy6a [65]

Answer:

33 meters

51 meters

Step-by-step explanation:

84-18= 66

66/2= 33

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3 years ago

Read 2 more answers

In a rectangle the length is 2 cm longer than the width. If its length and width are both increase by 4 cm it's area is increase

Brums [2.3K]

Answer:

Length = 6 cm and width = 4 cm.

Step-by-step explanation:

Let the width be x, then the length is x + 2 cm and its area = x(x + 2).

The new width and length are x + 4 and x + 6, and the new area is

(x + 4)(x + 6).

So we have the equation:-

(x + 6)(x + 4) = x(x + 2) + 56

x^2 + 10x + 24 = x^2 + 2x + 56

10x - 2x = 56 - 24

8x = 32

x = 4 cm = width

and length = 4 + 2 = 6 cm

8 0

3 years ago

Find MO and PR <br> ............................................................

ddd [48]

MO = 12 and PR = 3

Solution:

Given $\triangle M N O \sim \Delta P Q R$ .

Perimeter of ΔMNO = 48

Perimeter of ΔPQR = 12

MO = 12x and PR = x + 2

<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.</em>

$$\Rightarrow \frac{\text{Perimeter of }\triangle MNO}{\text{Perimeter of }\triangle PQR} =\frac{MO}{PR}$

$$\Rightarrow \frac{48}{12} =\frac{12x}{x+2}$

Do cross multiplication.

$$\Rightarrow 48({x+2})= 12(12x)$

$$\Rightarrow 48x+96= 144x$

Subtract 48x from both sides.

$$\Rightarrow 48x+96-48x= 144x-48x$

$$\Rightarrow 96= 96x$

Divide by 96 on both sides, we get

⇒ 1 = x

⇒ x = 1

Substitute x = 1 in MO an PR.

MO = 12(1) = 12

PR = 1 + 2 = 3

Therefore MO = 12 and PR = 3.

7 0

3 years ago