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
Gnoma [55]
3 years ago
6

Rewrite the expression with the given base. 16^x with a base of 2.

Mathematics
1 answer:
olga55 [171]3 years ago
5 0
Keeping in mind that 16 = 2*2*2*2, thus 16 = 2⁴

\bf 16^x\implies (2^4)^x\implies 2^{4\cdot x}\implies 2^{4x}
You might be interested in
Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?
jek_recluse [69]

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5   ⇒ <u>x must be greater than or equal to 4.5</u>

thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5

3 0
3 years ago
PLEASE HELP ME!!!<br> Find the vertex of f(x)=x^2+2x+3 and show your work
belka [17]

Answer:

The vertex is the point (-1,2)

Step-by-step explanation:

we have

f(x)=x^{2}+2x+3

Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-3=x^{2}+2x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-3+1=x^{2}+2x+1

f(x)-2=x^{2}+2x+1

Rewrite as perfect squares

f(x)-2=(x+1)^{2}

f(x)=(x+1)^{2}+2 ----> equation in vertex form

The vertex is the point (-1,2)

5 0
3 years ago
HELP NEEDED A.S.A.P. PLEASE &amp; THANK YOU!!!!!!
andreev551 [17]
Hello,

Answer B

y=-x^4+1
y'=-4x^3
y"=-12x² is always <0 : concavity downside.
4 0
3 years ago
What’s the answer ???<br><br> (ONLY ANSWER IF YOU KNOW)
just olya [345]
First, it says to simplify the expression, so you should try that first.

Simplified Expressions:
8y^15 and 36y^7

Then compare on which simplified expression has the greater exponent
8y^15 and 36y^7
8y^15 has the greater exponent

8y^15 = (y^9)(2y^2)^3 (Or the first expression)

The exponents of expression #1 are greater than the exponents of expression #2
5 0
3 years ago
What is the equation of the additive relationship represented by this table?
QveST [7]

Answer:

-1

Step-by-step explanation: hope this helps

3 0
3 years ago
Other questions:
  • Use what you know about the difference of squares and the product of a perfect square binomial to expand the following.
    9·1 answer
  • A fruit stand has a 18 red apples.this is 40% of the total apples in the stand. How many apples are in their stand?
    14·2 answers
  • Can someone help me with this question?
    11·1 answer
  • 2343 x 23.56 + 94217.23452 / 21421 - 512
    7·2 answers
  • Which two types of cars have equivalent ratios of miles traveled to hours of time during the trip?
    13·2 answers
  • To save for her newborn son's college education, Kelli Peterson will invest $1,500.00 at the end of each year for the next 18 ye
    11·1 answer
  • What is 16 thirds as mixed number
    8·2 answers
  • Please please help!!!! this is my last question! thank you!!!
    8·1 answer
  • The price of a video game was reduced from $60 to ​​​​​​​$45. By what percentage was the price of the video game reduced?
    13·2 answers
  • How much oil wells in a given field will ultimately produce is crucial information in deciding
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!