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inna [77]
1 year ago
10

Can anyone help me!​

Mathematics
2 answers:
alexdok [17]1 year ago
6 0

Answer:

2^-64

Step-by-step explanation:

256^-2*2^3/2

256^-2^3

256^-8

1/256^8

1/2^8*8

1/2^64

2^-64

zhenek [66]1 year ago
4 0

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:

brainly.com/question/28211147

brainly.com/question/27959936

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Answer:

Option C

Step-by-step explanation:

The first number is - 3, then we have a blank and the third number is - 1 1/8

In order for the numbers to be arranged from least to greatest, the number in the center should be greater than -3, and lesser than -1 1/8

Note that for negative numbers, the larger the constant, the smaller the number. i.e. -5 is smaller than -4.

So from the given options, the only number that is greater than -3 and lesser than -1 1/8 is - 2 1/4

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7 0
2 years ago
In the past month, Aldo rented 7 video games and 4 DVDs. The rental price for each video game was $2.30. The rental price for ea
Scrat [10]

Answer:

$27.70

Step-by-step explanation:

v=video games            d=DVDs

7v + 4d =

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5 0
2 years ago
Read 2 more answers
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zysi [14]

Answer:

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Step-by-step explanation:

648.45 - 265.95

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= 3.32 hrs

Finding equation to find hours can be shown as

( t - p ) /  85x =  3.32

How we found equation to find total

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Equation = ( 85x x 3  1/3) + 265 - 19/20 = t

3 0
2 years ago
The radius of a circle is 2 centimeters. What is the circle's area? r=2 cm Use 3.14 for ​. square centimeters.
satela [25.4K]

Answer:

A = 12.57

Step-by-step explanation:

This is my answer! Hope this helps!

7 0
3 years ago
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Answer:volume= 125cu.in

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Step-by-step explanation:


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