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
Gemiola [76]
3 years ago
10

Explain the error in the work shown. Find the correct answer.

Mathematics
2 answers:
svetlana [45]3 years ago
3 0

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a=-3/4.

Lesechka [4]3 years ago
3 0

Answer:

a=-\frac{3}{4}

Step-by-step explanation:

We have to find the error in the given work.

\frac{1}{64}=(16)^{2a}

Reason: Given

\frac{1}{(4)^3}=((2)^4)^{2a}

\frac{1}{a^x}=a^{-x}

Using the property then we get

4^{-3}=((2)^4)^{2a}

4^{-3}=2^{8a} By the property ((a^x)^y=a^{xy})

((2)^2)^{-3}=2^{8a}

2^{-6}=2^{8a}

When bases are equal then power will be equal

Therefore, 8a=-6

a=\frac{-6}{8}=-\frac{3}{4}

But in given work bases are not same but he wrote power equal.

This is the error in given work.He wrote 4^{-3} instead of 2^{-6}

You might be interested in
Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.
poizon [28]

Answer:

one fraction 17/5

mixed number: 3 2/5

Step-by-step explanation:

4 0
3 years ago
John owns a hardware store. He has at most $1,000 to spend on restocking his pipes. Steel pipes cost $100, and plastic pipes cos
Llana [10]
If there is $1,000 for the pipes, then you can buy 5 steel pipes for $500 and to plastic for 500 too. 
3 0
4 years ago
Read 2 more answers
BRAINLIEST AND A LOTTT OF POINTS, PLEASE HELP
damaskus [11]

Answer:

Wil low

Tun nel

Bri lli ant

Di ffi cult

Exa gge rate

Fit ter

Plan ner

Step-by-step explanation:

I gave you seven just in case.

5 0
2 years ago
3×0.7= <br> And could you please do the model
otez555 [7]

Answer: 2.1, I don't really know how to show a model for this, its just that when you multiply 3 and 7 you get 21, when you do 0.7 and 3, you just put the decimal place between the 2 and 1.

7 0
3 years ago
Find the conjugate of the complex number, use division:<br> 2+i<br> ——<br> 1+i
Fittoniya [83]

I assume you mean divide using the conjugate to rationalize the denominator and express the result in standard rectangular form.

\dfrac{2+i}{1+i} = \dfrac{2+i}{1+i} \cdot \dfrac{1-i}{1-i} = \dfrac{2(1)-i^2-2i+i}{1^2+1^2} = \frac 3 2 - \frac 1 2 i


4 0
3 years ago
Other questions:
  • Please help!!!! Solve for r: f=2r+m
    14·1 answer
  • -4x-2y=16 is it increasing or decreasing
    11·2 answers
  • What is the radius of a circle with circumstance of 22m
    8·1 answer
  • Write a real world problem I which you would divide decimals
    8·2 answers
  • In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows a
    8·1 answer
  • The Base Ten Chart is a System of Units. Select the statement that is true. O The Units of each column can increase or decrease
    10·1 answer
  • PLS HELP URGENT TONS OF POINTS PLUS BRAINLIEST
    12·2 answers
  • Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
    12·1 answer
  • Parabola with focus (2, 1) and directrix x=-8
    7·1 answer
  • The next weekend after the camping trip, Lin and Diego each decide to cook a large batch of oatmeal to have breakfasts ready for
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!