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Zigmanuir [339]
3 years ago
11

Evaluate the expression:(1/3)⁴ = ?​

Mathematics
2 answers:
vlabodo [156]3 years ago
5 0

Answer:

1/81

Step-by-step explanation:

\frac{1*1*1*1}{3*3*3*3} multiply them

hope this helps :/

Kruka [31]3 years ago
3 0

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

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3 years ago
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Step-by-step explanation:

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2 years ago
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Read 2 more answers
√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q. ​
frutty [35]

Answer:  

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

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1 year ago
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