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3 years ago

Evaluate the expression (25^-3/2)^1/3

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

8 0

Answer:

1/5

Step-by-step explanation:

To avoid ambiguity, your negative exponent -3/2 should be enclosed in brackets or parentheses, as should your exponent 1/3:

( 25^[-3/2] )^ (1/3)

This is equivalent to:

(√25)^(-3)· (1/3), or

5^(-1), or 1/5.

Andreas93 [3]3 years ago

8 0

Answer:

the answer is 1/5

Step-by-step explanation:

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The answer to the system of equations is 4, -4

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Which expression is equivalent to -36 - 8?

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-36-8 = -44

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2 years ago

Can anyone help me with this?0

sergeinik [125]

Answer:

C) (y - 1)(y - 5)

Step-by-step explanation:

Hi there!

First you separate your expression into groups.

$(y^2-5y)(-1y+5)$

Now we take the common multiple out of each.

$y(y - 5)-1(y - 5)$

Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.

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Now we are just left with (y - 5)(y - 1)

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3 years ago

jasmine has 8 seashells. three- quarters are clamshells. how many shells are clamshells 3/4=_/8 a)3 shells b)4 shells c) 6 shell

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3 years ago

What is the explict rule for the sequence 12,22,32,42

icang [17]

The explicit rule for given sequence is:

$a_n=2+10n$

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

If the difference of two consecutive terms is same then the sequence is arithmetic sequence
If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42

$a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10$

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference$

Putting the values of a1 and d

$a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n$

The explicit rule for given sequence is:

$a_n=2+10n$

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago