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kenny6666 [7]
2 years ago
15

Which expression is equivalent to (3m^-2n)^-3/6mn^-2

Mathematics
2 answers:
Luden [163]2 years ago
7 0
We are asked to find the equivalent of the expression given:
(3m⁻² n)⁻³
-----------
6mn⁻²

Perform distribution of power using power rule such as shown below:
3⁻³ m⁻²*⁻³n⁻³
-----------------
6mn⁻²

Perform product and quotient rule such as shown below:
m⁶ n²
--------
3³ *6*m*n³

Simplify,
m⁵
--------
162n

The answer is m⁵/162n.
kakasveta [241]2 years ago
4 0

the answer is m⁵/162n young chiefs

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If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length
AURORKA [14]

Answer:

<h2>Leg length = 8.5</h2><h2 />

Step-by-step explanation:

let x represent the leg length

if we use the Pythagorean theorem we get:

x² + x² = 12²

then

2x² = 12²

Then

x² = 144/2 = 72

then

x = √(72)

 =8,485281374239

7 0
2 years ago
Find the coordinates of X. A. (7, 4.5) B. (7, 2.5) C. (3.5, 7) D. (7, 3.5
AVprozaik [17]

Answer:

A 7,4.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How to solve 4(a-2)=3(a+4)
Blababa [14]
Use the distributive property.
4a - 8 = 3a + 12
Arrange the like terms.
4a - 3a = 12 + 8
a = 20
That is the answer. <span>☺️</span>✌️
5 0
3 years ago
Which inequality is true? 1.5 greater-than 2 and one-half
Travka [436]

The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequalities given:

1.5 > 2\dfrac{1}{2}

or

1.5 > 2.5  (false)

1/2 > 0.5

0.5 > 0.5 (false)

-2.5 > -1.5 (false)

-3 \dfrac{1}{2} > -4.5

-3.5 > -4.5  (true)

Thus, the inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

7 0
1 year ago
I have no idea!! Please help!!!
Ber [7]
The area of a traingle is \frac{1}{2}bh
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same

a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²=\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}
a=\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}

A=\frac{1}{2}bh
A=\frac{1}{2}a*a
A=\frac{1}{2}×\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}×\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}
A=\frac{1}{2}×\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}
A=\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{4}
8 0
2 years ago
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