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
Butoxors [25]
3 years ago
6

What is the value of y in the product of powers below?

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0

Answer:

y =0

Step-by-step explanation:

From the equation;

8³ × 8⁻⁵×8^y = 8⁻²= 1/8²

From the laws of indices;

aⁿ×aⁿ = a^2n

Therefore;

8³ × 8⁻⁵×8^y = 8^(3+-5+y)

8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;

-2 + y = -2

      y = 0

makkiz [27]3 years ago
6 0

Answer:

The value of y is 0

Step-by-step explanation:

8³ * 8^-5*8^y = 8^-2 or 1/8²

Taking indices of both sides

From first law of indices;

Multiplication sign change to addition; i.e. x^a * x^b = x^(a + b).

So,

8³ * 8^-5*8^y = 8^-2

Becomes

8^(3 + (-5) + y) = 8^-2

Same base of 8 can cancel one another. So, we're left with

3 + (-5) + y = -2

Open the bracket

3 - 5 + y = -2

-2 + y = -2

Make y the subject of formula

y = 2 - 2

y = 0

Hence, the value of y in the equation is 0

You might be interested in
A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the
Lelu [443]

Answer:

95% Confidence interval: (0.375,0.377)

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 0.376 cc/cubic meter

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 0.0012

Degree of freedom =

=n-1\\=15-1\\=14

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 14 and}~\alpha_{0.05} = \pm 2.145  

0.376 \pm 2.145(\dfrac{0.0012}{\sqrt{15}} )\\\\ = 0.376 \pm 0.0006\\\\ = (0.3754,0.3766)\approx (0.375,0.377)  

(0.375,0.377) is the required 95% confidence interval for the population mean potassium chloride concentration.

5 0
3 years ago
A)14 xy + 3 xy + 2[x[y - 17)<br> Simplify the expression.
tankabanditka [31]

Answer:

Let's simplify step-by-step.

14xy+3xy+2x(y−17)

=19xy−34x

5 0
3 years ago
Use the table below to find f ( 4) - f (0) + f(-8), Choose your correct response from the options below.
marshall27 [118]

Answer:

-4f

Step-by-step explanation:

Hi! Let's work on simplifying this.

f(4) = 4f

f(0) = 0, because anything x 0 is 0

f(-8) = -8f

Our equation is 4f + -8f

We can get rid of the plus negative...

4f - 8f

So we get:

-4f

6 0
3 years ago
A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fru
makkiz [27]

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

8 0
2 years ago
The library surveyed 240 people about their favorite movie. If 15% people chose documentaries, how many people chose documentari
prohojiy [21]
36 people chose documentaries 
5 0
3 years ago
Read 2 more answers
Other questions:
  • Complete the missing parts of the table for the following function y=(1/5)
    13·1 answer
  • A researcher analyzed the results of her data and calculated the standard deviation of scores at 3.5. what is the variance? 7.00
    15·1 answer
  • Ralph Jordan recently bought a new lawnmower for $228. if he paid 6% sale tax on the lawnmower,what was the total cost of the la
    5·2 answers
  • Which coupon should Vivian use to save the most money on a crystal sculpture originally priced at $281.90 20% off or 50.00$
    14·1 answer
  • Given that the circumference is 15.7 meters, find
    14·1 answer
  • A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiter
    13·1 answer
  • Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be th
    15·1 answer
  • Which of these numbers are multiples of 6 choose all that apply
    7·1 answer
  • Please solve correctly
    11·1 answer
  • I need some help please :)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!