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
ludmilkaskok [199]
3 years ago
14

What is the simplified base for the function f(x)=2 (3 sqrt 27^2x)?

Mathematics
2 answers:
Kaylis [27]3 years ago
6 0
C: 9 would be the answer 
Rama09 [41]3 years ago
4 0

Answer:

Option 3 - 9

Step-by-step explanation:

Given : Function f(x) = 2^{\sqrt[3]{27^{2x}}}

To find : What is the simplified base for the function ?

Solution :

Step 1 - Write the expression

f(x) = 2^{\sqrt[3]{27^{2x}}}

Step 2 - Write 27 as 27=3^3

f(x) = 2^{\sqrt[3]{(3^3)^{2x}}}

Step 3 - Using exponent rules

(x^m)^n = x^{mn}

 f(x) = 2^{\sqrt[3]{3^{6x}}}

Step 4 - Apply exponent rule,

\sqrt[n]{x^b} = x^{\frac{b}{n}}

 f(x) = 2^{3^{2x}}}

Step 5 - Solve

 f(x) = 2^{9^x}

The base of the x is 9.

Therefor, Option 3 is correct.

You might be interested in
PLEASE HELP ME BUILD AN EQUATION WITH THIS
anyanavicka [17]

Answer:

12mph + bmph = 45 - 26.5c

Step-by-step explanation:

8 0
3 years ago
Ricardo purchased a new car with special 1.9% financing. If the cars price was 17,999 and he financed it for years, find his mon
frosja888 [35]

Answer:

the answer is actually $389.71

Step-by-step explanation:

4 0
3 years ago
The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable
Keith_Richards [23]
F(x)=5x

normal domain: all real numbers
practical domain: <span>all positive integers

</span>becasue we can substituent with any positive integer in the place of x
3 0
3 years ago
Read 2 more answers
Paul is filling the rectangular prism shown with cubes that measure 4 inch along each edge.
kumpel [21]

Awnser:

You can fit up to 64 cubes in the rectangular prism.

Step-by-step explanation:

Well, we know that each side measures 4 inch each.

So, 4(L) x 4(W) x 4(H) = 64.

8 0
2 years ago
Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?
Goshia [24]
20/5 = 4
therefore the unit price for the bottles of juice is 4
3 0
2 years ago
Other questions:
  • PLEASE HELP ME FAST!!!!!!!!11
    12·1 answer
  • One of the highest snowfall rates ever recorded was in Silver Lake, Colorado, in April 1921, when just over 7 feet of snow fell
    13·1 answer
  • Could someone please help?
    12·2 answers
  • The supplement of an angle is 126ْ more than twice its complement. The measure of the angle is:
    5·2 answers
  • Why is -csc^2 (pi/4) = -2 ?
    11·1 answer
  • a football player runs across the 30-yard line at an angle. He continues in a straight line and crosses the goal line at the sam
    6·2 answers
  • The store salsa jars have a height of ten centimeters and a radius of five centimeters. If
    7·1 answer
  • What is .54 repeating as a fraction
    15·2 answers
  • Someone help me please :)
    14·1 answer
  • 1. Which expression is equivalent to the given expression? * -0.25 (84 – 32n) - n
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!