1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Please answer 3-6 and show work
GuDViN [60]

Answer:

3. 10 - 5 is 5. so that is the difference. difference means subtraction.

4. 108 - 30 = 78. so she can move 78 degrees miore after therapy because 108 minues 30 is 78

5. 99 because 180 - 81 = 99. there is always 180 degrees in a line angle.

6. 130 degrees. 25 + 25 = 50 so 180 minus 50 equals 130

Step-by-step explanation:


8 0
3 years ago
Alec opened up a savings account with $2,500 and the account will earn 3.5% simple interest. How much money will he have in 15 y
inna [77]

Answer:

3812.5

Step-by-step explanation:

2500 x 3.5% = 87.5 x 15 = 1312.5 + 2500 = 3812.5

8 0
2 years ago
Read 2 more answers
N is an odd number.
Alex777 [14]

Answer:

A and E

Step-by-step explanation:

substitute and odd number into every equation :)

6 0
2 years ago
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
AveGali [126]

Answer:

None of the first 4 do. so I guess the answers E.

Step-by-step explanation:

8 0
3 years ago
If it takes 100 g of sugar to make five cupcakes how many grams of sugar let me take to make 15 cupcakes
marissa [1.9K]

Answer:

300 g of sugar

Step-by-step explanation:

15 divided by 5 is 3 so 3 x 100 is 300. Hope this helps! :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Given that (5,7) is on the graph of f(x), find the corresponding point for the function f(x5)
    8·2 answers
  • the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used
    8·2 answers
  • Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s cha
    5·2 answers
  • Why can’t you raise 0 to a negative exponent?
    9·1 answer
  • Susan is wanting to create a garden. She needs the length of her garden to be 3 feet longer than the width. a) write a function
    8·1 answer
  • Solve the following system of equations using substitution.<br> y = 2x-2<br> -4x-y = 26
    10·1 answer
  • Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its
    6·1 answer
  • Please help!! thanks!
    10·1 answer
  • A pen and a ruler cost $2.10. 2 such pens and 3 such rulers cost $4.90. Find the cost of one ruler.
    10·1 answer
  • Question
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!