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Rina8888 [55]
2 years ago
13

Which number below is an integer but not a natural number?

Mathematics
1 answer:
tamaranim1 [39]2 years ago
4 0

Answer:

C) -5

Step-by-step explanation:

-5 is an integer but not a whole number or a natural number.

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The measure of angle θ is . The measure of its reference angle is _°, and tan θ is _?
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Please answer the two questions!
shutvik [7]

Given:

The expressions are

(c) \left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3

(d) \dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}

To find:

The simplified form of the given expression.

Solution:

(c)

We have,

\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3

We know that, zero to the power of a non-zero number is always 1. So, \left(\dfrac{2^4\times 3^6}{12^2}\right)^0=1

\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=(1)^3

\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=1

Therefore, the value of the given expression is 1.

(d)

We have,

\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}

It can be written as

\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13^3\times 1}{(65\times 49)^2}

\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13\times 13\times 13}{(65\times 49)(65\times 49)}

\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{(5\times 49)(5\times 49)}

\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}

\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}

Therefore, the value of given expression is \dfrac{13}{60025}.

7 0
3 years ago
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