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Anastaziya [24]
3 years ago
5

Simplify (4^7/5^2)^3

Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:

281474976.7

Step-by-step explanation:

4⁷=16384

5²=25

16384/25=655.36

(655.36)³=281474976.7

Nuetrik [128]3 years ago
5 0

Answer:

4²¹/5⁶ or 4398046511104/15625

Step-by-step explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

(\frac{4^{7} }{5^{2} })^{3} \\\\ = (\frac{(4^{7})^{3} }{(5^{2})^{3} }) \\\\= \frac{4^{7 * 3} }{5^{2* 3} } \\\\= \frac{4^{21} }{5^{6} } \\\\=\frac{4398046511104}{15625}

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90

Step-by-step explanation:

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Solve for x <br><br> log(7x+1) = log(x-2) + 1
myrzilka [38]
Log(7x+1) - log(x-2) =1

log[(7x+1) / (x-2)] =1 or log[(7x+1) / (x-2)] =log10 (log10=1)

it means (7x+1) / (x-2) =10

Solving ===> x=7
5 0
4 years ago
HELP PLZ REALLY NEED IT
NISA [10]

The formula for the surface area is given and as follows.

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4 years ago
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Finding perpendiculars to planes
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3 years ago
Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6
ElenaW [278]
<h2>Answer</h2>

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

Or as ordered pairs: (\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)

<h2>Explanation</h2>

Lets solve our system of equations  step by step

x^2+y^2=6 equation (1)

x^2-y=6 equation (2)

1. Solve for x^2 in equation (2)

x^2-y=6

x^2=6+y equation (3)

2. Replace equation (3) in equation (1) and solve for y

x^2+y^2=6

6+y+y^2=6

y^2+y=0

y(y+1)=0

y=0 or y=-1

3. Replace the values of y in equation (3) and solve for x

- For y=0

x^2=6+y

x^2=6

x=\sqrt{6} or x=-\sqrt{6}

- For y=-1

x^2=6+y

x^2=6-1

x^2=5

x=\sqrt{5} or x=-\sqrt{5}

So, the solutions of our system of equation are:

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

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3 years ago
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