What Is The Highest Power Of 2 In The Following Expression?

by | Last updated on January 24, 2024

, , , ,

Thus the highest exponent of 2 will be

32

.

How do you find what power of 2 A number is?

Explanation. A simple method for this is to simply

take the log of the number on base 2

and if you get an integer then the number is the power of 2.

What is the power of 2?

A power of two is

a number of the form 2

n


where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

What does it mean to express a number as a power of 2?

There are two important terms used frequently in exponents are base and powers. To find x to the power of 2, we can write it in exponent form as x

2

, where x is base and 2 is power. Power should always be written on top of the base. It means x is multiplied 2 times, that is,

(x) × (x) = x

2


.

What is 5 in the power of 2?

Answer: 5 to the power of 2 can be expressed as 5

2

= 5 × 5 =

25

.

What is 3 to the 2nd power?

Answer: 3 raised to the second power is equal to

3

2

= 9

.

What is 2 as a power of 8?

Answer: The value of 2 raised to 8

th

power i.e., 2

8

is

256

.

What are the first 10 powers of 2?

Powers of 2 Powers of 3 Powers of 4 27=128 37=2187 47=16384 28=256 38=6561 48=65536 29=512 39=19683 49=262144 210=1024 310=59049 410=1048576

How do you check if a number is a power of 3?

Observation 2 : If a number ends with one of these 4 digits, we only have to check the powers of three which would guarantee a number ending with

that last

digit. For example, if a given number ends with 1, it must be a 4th or 8th or 12th and so on power of three, if at all.

How do you check if a number is a power of 2 Python?

  1. A simple method for this is to simply take the log of the number on base 2 and if you get an integer then number is power of 2.
  2. Another solution is to keep dividing the number by two, i.e, do n = n/2 iteratively. …
  3. All power of two numbers have only one bit set.

What is 32 as a power of 2?

. Powers of 2 Table (con’t.) Bit Line # Power of 2 Expo- nent Binary Bit Weight in Decimal 33 2

32


4,294,967,296
34 2

33

8,589,934,592
35 2

34

17,179,869,184

What is 10 by the power of 3?

Answer: The value of 10 raised to 3

rd

power i.e., 10

3

is

1000

.

What is 3 by the power of 5?

Answer: The value of 5 raised to power of 3 is 5

3

=

125

. Explanation: 5

3

= 5 × 5 × 5 = 125.

What is 5 to the power?

Answer: 5 to the power of 5 can be expressed as

5

5

= 5 × 5 × 5 × 5 × 5 = 3,125

. Let us proceed step by step to express 5 to the power of 5. Explanation: The two important terms used frequently in exponents are base and powers.

What is 3 to the exponent of 0?

Answer 3: Any number to the zero power always gives

one

. x

a

* x

– a

= x

a

* 1/x

a

: This means that any number x

0

= 1.

Jasmine Sibley
Author
Jasmine Sibley
Jasmine is a DIY enthusiast with a passion for crafting and design. She has written several blog posts on crafting and has been featured in various DIY websites. Jasmine's expertise in sewing, knitting, and woodworking will help you create beautiful and unique projects.