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olchik [2.2K]
3 years ago
5

Please simplify this equation​

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

The  Answer is -53.23

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Which expression is equivalent to ?
mamaluj [8]

Answer:

Step-by-step explanation:

\frac{(a^{2}b^{4}c)^{2}*(6a^{3}b)*(2c^{5})^{3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{2*2}b^{4*2}c^{2}6a^{3}b2^{3}c^{5*3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{4}b^{8}c^{2}6a^{3}b8c^{15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*8*a^{4+3}b^{8+1}c^{2+15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*2*a^{7}b^{9}c^{17}}{a^{6}b^{12}c{^3}}\\\\=\frac{12a^{7-6}c{17-3}}{b^{12-9}}\\\\=\frac{12a^{1}c^{14}}{b^{3}}\\\\=\frac{12ac^{14}}{b^{3}}

Hint:

x^{m}*x^{n}=x^{m+n}\\\frac{x^{m}}{x^{n}}=x^{m-n},m>n\\\frac{x^{m}}{x^{n}}=\frac{1}{x^{n-m}},n>m

5 0
3 years ago
What is 3 less than -2
Anastasy [175]
-2 - 3 = -5
The answer is negative 5.
4 0
3 years ago
In circle O, what is m∠MAJ? °
mr_godi [17]

See the attached figure.

m ∠KAJ = 170° &  m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°


<u>So, the answer is :  m ∠MAJ = 55°</u>

4 0
3 years ago
A square and a rectangle have equal areas. If the dimensions of
Katena32 [7]

Answer:

L = 3√5

Step-by-step explanation:

A square and a rectangle have equal areas.

Area of a square = Area of a rectangle

L² = H * W

If the dimensions of the rectangle are 15 units by 3 units,

L² = 15 * 3

L² = 45

Determine the length of the side of the square.

L = √45

L = 3√5

6 0
3 years ago
Read 2 more answers
i am a number less than 3,000. when you divide me by 32,my remainder is 30. when you divide me by 58,my remainder is 44. what nu
Marat540 [252]
32(24)+30=58(13)+44=798

I am 798
3 0
3 years ago
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