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Butoxors [25]
4 years ago
5

Write (8a^-3)^-2/3 in simplest form Please explain as if I were five years old

Mathematics
1 answer:
Natalija [7]4 years ago
3 0
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}\\\\
-----------------------------\\\\

\bf (8a^{-3})^{-\frac{2}{3}}\qquad 8=2^3\implies (2^3a^{-3})^{-\frac{2}{3}}
\\\\\\
\textit{now, let's distribute the exponent}
\\\\\\
2^{\cfrac{}{}3\left( -\frac{2}{3} \right) }a^{-3\left( -\frac{2}{3} \right) }\implies 2^{-2}a^2\implies \cfrac{1}{2^2}\cdot a^2\implies \cfrac{a^2}{4}
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Select all the true statements
Doss [256]

The true statements are;

1) AB + BC = AC

Length of BC = |6 - 1|

2) ∠JMK = 50°

∠KML = 35°

<h3>How to Interpret Number Line intervals?</h3>

1) From the given number line interval, we can deduce the interpretation as follows;

AB + BC = AC

Length of BC = 5 units or |6 - 1|

Length of B = 3 Units

2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;

6x + 2 + 4x + 3 = 85

10x + 5 = 85

10x = 85 - 5

10x = 80

x = 80/10

x = 8°

Thus;

∠JMK = 6(8) + 2

∠JMK = 50°

∠KML = 85° - 50°

∠KML = 35°

Read more about Number Line Intervals at; brainly.com/question/27998235

#SPJ1

6 0
2 years ago
What is the answer to 11x+4+51+2x+8=180
Digiron [165]
Hi,

Work:

Equation;

11x + 4 + 51 + 2x + 8 = 180

Collect like terms and calculate sum of positive numbers.

13x + 63 = 180

Move constant +63 to the right side and change its sign.

13x = 180 - 63

Subtract numbers.

13x = 117

Divide both sides of equation with 13.

x = 9


Hope this helps.
r3t40
7 0
4 years ago
Read 2 more answers
Ken built a square fence around his yard. He planted 4 trees on each side of the fence. What is the least number of trees Ken pl
Paha777 [63]

Answer:

16

Step-by-step explanation:

A square fence has 4 sides

4x4

8 0
3 years ago
Which is more 7 pints or 13 cups?
kobusy [5.1K]
One cup is half a pint
so first change pints to cups:
7pints÷0.5cups each=14cups
14>13 so that means 7 pints is larger
3 0
3 years ago
Help me with this plsss 40 pointsss
lara [203]

Answer:

Step-by-step explanation:

x(3x+2)=16

3x²+2x-16=0

3x²+8x-6x-16=0

x(3x+8)-2(3x+8)=0

(3x+8)(x-2)=0

either 3x+8=0

x=-8/3(rejected as width can't be negative)

x-2=0

x=2

so width=2

length=3×2+2=6+2=8

7 0
3 years ago
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