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gtnhenbr [62]
3 years ago
9

Prove that (81/16)^-3/4 ×[(25/9)^-3/2 ÷ (5/2)^-3]=1​

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

First write them in positive exponent form

(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]

(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)

Simplify the terms

2³/3³ × ( 3³ / 5³ ÷ 2³/5³)

Solve the terms in the bracket

2³/3³ × (3³/5³×5³/2³)

You will get

2³/3³ × 3³/2³ = 1

They will cancel each other so the answer will be 1

Hope this helps.

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yKpoI14uk [10]

Step-by-step explanation:

Multiply both sides by 9 and you will get

2 + h + 3(h - 1) = 3

or

2 + h + 3h - 3 = 3

Solving for h, we get

4h = 4 \Rightarrow h = 1

6 0
2 years ago
What is the length of the TV if it is 45.25 inches wide and 24.5 inches tall ?
Vsevolod [243]

You are asking for length,

There is area, width, and length.

There is no area/square feet or any hints of area.

We already have wide for width

So that makes the 24.5 inches tall the length

the answer is 24.5 inches

5 0
2 years ago
Solve for x.<br> 3x - 3<br> 4x - 6<br> X =<br> = [?]
Lina20 [59]
3x-3 and 4x-6 are complementary angles meaning together they add up to 180°. Set them equal to each other. So you get 3x-3=4x-6 now simplify this. Now you have x=3 and there you have it! If you plug 3 into x in both equations it works! Hope this helps!
7 0
2 years ago
Read 2 more answers
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BARSIC [14]
Complementary angles have a sum of 90 degree, right angle
It would be C. Since it’s the only 2 angles that form a right angle
4 0
3 years ago
4/50 converted into a percentage
Arlecino [84]

Answer:

Step-by-step explanation:

\frac{4}{50}*100=4*2

            = 8%

3 0
3 years ago
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