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erma4kov [3.2K]
1 year ago
15

I need help simplify: 4^8/4^-4

Mathematics
1 answer:
LenKa [72]1 year ago
5 0

Answer:

4^{12}

Step-by-step explanation:

using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)} , then

\frac{4^{8} }{4^{-4} } = 4^{(8-(-4))} = 4^{(8+4)} = 4^{12}

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A regular polygon of "n" sides has "n" Lines of Symmetry

so a regular 32 sided polygon has 32 lines of symmetry

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Answer:

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Which table shows a function whose range has exactly three elements
Rudik [331]
<h2>Answer:</h2>

The table which shows that a function's range has exactly three elements is:

         x      y

         3      8

        4      6

        5      12

        6       8

<h2>Step-by-step explanation:</h2>

<u>Domain of a function--</u>

The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.

<u>Range of a function--</u>

It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.

a)

     x      y

     1      4

     2      4

     3       4

Domain: {1,2,3}

Range: {4}

Hence, the range has a single element.

b)

     x      y

     3      8

     4      6

     5      12

     6       8

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Range: {6,8,12}

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c)

     x      y

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This relation is not a function.

because 0 has two images.

0 is mapped to 5 and 0 is mapped to 15.

d)

     x      y

     1      4

     3     2

    5      1  

    3      4

This relation is not a function.

because 3 has two images.

3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)

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