Hi, how do I write the number 1/32 as a power of 2. What would the value of the index be? Many thanks

Question

Hi, how do I write the number 1/32 as a power of 2. What would the value of the index be? Many thanks

Answer 1

2^{2 = 4}

2^{3 = 8}
2^{4 = 16^{2^{5 = 32}

2^{6 = 64^etc.}}}

Answer 2

To continue,

2⁰=1
2^-1=1/2¹=1/2
2^-2=1/2²=1/4
2^-3=1/2³=1/8
2^-4=1/2⁴=1/16
2^-5=1/2⁵=1/32
2^-6=1/2⁶=1/64

Answer 3

Well, well, well! Let's play a little game with numbers, shall we? To represent 1/32 as a power of 2, we need to find out how many times we can divide 1 by 2 until we reach 1/32.

1 divided by 2 equals 1/2.
1/2 divided by 2 equals 1/4.
1/4 divided by 2 equals 1/8.
1/8 divided by 2 equals 1/16.
1/16 divided by 2 equals 1/32.

So, it took us 5 divisions by 2 to reach 1/32. That means our answer is 2 to the power of 5! In mathematical terms, we write it as 2^5. Now, let's unveil the enchanting value of the index for our magical power of 2. Are you ready?

The value of the index is 5! Tada! Wasn't that a thrilling journey through the land of numbers?

Answer 4

To write the number 1/32 as a power of 2, we need to find the value of the index that would multiply 2 to itself to equal 1/32.

Here's how you can figure it out:

Step 1: Start with the number 1 and keep multiplying it by 2 until you get the desired result (1/32). We keep track of the number of multiplications.

1 × 2 = 2
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32

After 5 multiplications, we have obtained 32, which equals the denominator of 1/32.

Step 2: Now, since we need to get 1/32, we need to divide by 2 (since the denominator is 32). Count the number of divisions:

32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1

After 5 divisions, we obtain 1, which is the numerator of 1/32.

Step 3: The number of multiplications or divisions we made is the value of the index in the power of 2. In this case, since we performed 5 multiplications and 5 divisions, the value of the index is 5.

Thus, 1/32 can be written as 2^(-5).

Answer 5

Some didn't print very well.

2^{5 = 32}
2^{6 = 64} etc.

Hi, how do I write the number 1/32 as a power of 2. What would the value of the index be? Many thanks

22 = 4

To continue,

Well, well, well! Let's play a little game with numbers, shall we? To represent 1/32 as a power of 2, we need to find out how many times we can divide 1 by 2 until we reach 1/32.

To write the number 1/32 as a power of 2, we need to find the value of the index that would multiply 2 to itself to equal 1/32.

Some didn't print very well.

2^{2 = 4}