Why does 2 raised by the power of 3 equal to 8?

Question

2 + 2 + 2 equals 6. So why display 8?

Answer 1

No, it is 2*2*2...

Answer 2

it's 2*2*2

2*2 is 4

4*2 is 8

Answer 3

Thank you for being my math teacher!

Answer 4

Power simply refers to "multiple for times".
For eg:
If 2 raised is by power of 3
It means 2 is multiplied for 3 times.
i.e
2*2*2 which is 8

Answer 5

Example 1: Decimal to Hexadecimal
Let's convert the decimal number 254 to hexadecimal using the conversion wheel method.

Step 1: Decimal to Binary
First, we convert 254 from decimal to binary by repeatedly dividing by 2.

254÷2=127 with a remainder of 0

127÷2=63 with a remainder of 1

63÷2=31 with a remainder of 1

31÷2=15 with a remainder of 1

15÷2=7 with a remainder of 1

7÷2=3 with a remainder of 1

3÷2=1 with a remainder of 1

1÷2=0 with a remainder of 1

Reading the remainders from bottom to top, we get the binary number 11111110
2
​
.

Step 2: Binary to Hexadecimal
Next, we convert the binary number 11111110
2
​
to hexadecimal by grouping the bits into sets of four, starting from the right.

Group 1: 1110
2
​

Group 2: 1111
2
​

Now, convert each group to its hexadecimal equivalent:

The binary value 1111
2
​
is equal to the decimal value 15, which is represented as F in hexadecimal.

The binary value 1110
2
​
is equal to the decimal value 14, which is represented as E in hexadecimal.

Combining the hexadecimal digits, we get FE. So, 254
10
​
=FE
16
​
.

Example 2: Octal to Decimal
Let's convert the octal number 37
8
​
to decimal using the conversion wheel method.

Step 1: Octal to Binary
First, we convert the octal number 37
8
​
to binary by converting each octal digit into its 3-bit binary equivalent.

Octal digit 3 is 011
2
​
.

Octal digit 7 is 111
2
​
.

Combining these, we get the binary number 011111
2
​
. The leading zero is optional but helps with the conversion process.

Step 2: Binary to Decimal
Now, we convert the binary number 011111
2
​
to decimal by summing the products of each bit and its corresponding power of 2.

0×2
5
=0

1×2
4
=16

1×2
3
=8

1×2
2
=4

1×2
1
=2

1×2
0
=1

Adding these values together: 0+16+8+4+2+1=31. So, 37
8
​
=31
10
​
.

Answer 6

It is 2³.