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jarptica [38.1K]
3 years ago
13

Rewrite the expression with a rational exponent as a radical expression.

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:

\sqrt{5}

Step-by-step explanation:

we know that

The "power rule" tells us that to raise a power to a power, just multiply the exponents

so

(a^{m})^{n}=a^{m*n}

we have

(5^{\frac{3}{4}})^{\frac{2}{3}}

Applying the "power rule"

(5^{\frac{3}{4}})^{\frac{2}{3}}=5^{\frac{3}{4}*\frac{2}{3}}=5^{\frac{1}{2}}=\sqrt{5}

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Solve pls brainliest
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Answer:

b

Step-by-step explanation:

9/4=2.25

13.5/6=2.25

18/8=2.25

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2 years ago
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Answer:

it will be 0.44%

Step-by-step explanation:

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If triangle CDE is dilated by a scale factor of 1/5 with a center of dilation at vertex E, what is the area of triangle C'D'E'?
timurjin [86]
The correct answer would be Choice B: 4 square units.

When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.

The area of the triangle is: (4 x 2) / 2 = 4
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3 years ago
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photoshop1234 [79]

Answer:

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7 0
2 years ago
1. The sum of the three consecutive members of the geometric sequence is 13. The proportion of the third and the first member is
aev [14]
If a = first term and r = common ratio we have

a + ar + ar^2 = 13   and ar^2 / a = r^2 = 9

so r = 3

and a + 3a + 9a = 13 
so a = 1

so they are  1,3 and 9 

2.
in geometric series we have

4 , 4r ,4r^2 , 60

Arithmetic;
 4,  4r , 4r + d ,  4r + 2d

so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30 
so d = 30 - 2r 
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0

2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r  = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24

and the numbers are 4*3 =  12 , 4*3^2 = 36

first 3  are  4 , 12 and 36  ( in geometric)
and last 3 are 12, 36 and 60  ( in arithmetic)

The 2 numbers we ause are 12 and 36.





7 0
3 years ago
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