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3 years ago

What is the domain of the function in this table

Mathematics

1 answer:

olchik [2.2K]3 years ago

8 0

The main fuction is mulitiply by 2 each 1 point

Step-by-step explanation:

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Can anyone help me!

zhenek [66]

Answer:

$\large \text{$ \sf 2^{-64}$}$

Step-by-step explanation:

Given:

$\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}$

This reads as: 256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

$\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}$

$\large \text{$ \sf \implies -2^{3}$}$

Therefore:

$\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}$

Replace "-4 to the power of 3/2" with -8 :

$\large \text{$ \sf \implies 256^{-8}$}$

Rewrite 256 as 2⁸ :

$\large \text{$ \sf \implies (2^8)^{-8}$}$

$\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies 2^{(8 \times -8)}$}$

$\large \text{$ \sf \implies 2^{-64}$}$

In one complete calculation:

$\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf 2^{-64}\end{aligned}$

Learn more about exponent rules here:

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4 0

1 year ago

Read 2 more answers

The length of the base of a triangle is twice its height. if the area of the triangle is 44 square kilometers, find the height

xeze [42]

Let
$x$
be the height of the triangle.

Formular for area of Triangle
= ½ × base × height

thus,
${ \frac{1}{2} }(2x)(x)=44\ kilometers^2$

Simplifying
$x^2=44\ kilometers^2 \\\\ x= \sqrt{ 44 } \\\\ x=6.63\ kilometers$

3 0

2 years ago

-2 1/3-(-5) can someone help me

Masja [62]

Convert the mixed numbers to improper fractions then find the LCD and combine.
exact form: 8/3
decimal form: 2.6
mixed number form: 2 2/3

7 0

3 years ago

A construction company is strung up signs on 4 mile of the road.. if the company places a sign every 1/8 of a mile, how many sig

koban [17]

"A construction company is stringing up signs ... "

Divide 4 miles by 1/8 mile:

4 miles

--------------------------- = 32 signs are needed

(1/8) mile per sign

6 0

3 years ago

Will give brainiest :)

avanturin [10]

Answer:

x= 116°

y= 127°

Step-by-step explanation:

x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch

y.... Angle in a cyclic quadrilateral add up to 180°

hence 180-53=127

6 0

2 years ago