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Express 256 as a power 2....

Express 256 as a power 2.

A

`2^4`

B

`2^6`

C

`2^8`

D

`2^6`

Text Solution

AI Generated Solution

The correct Answer is:
To express 256 as a power of 2, we can follow these steps: ### Step 1: Start with the number 256. We need to find out how many times we can multiply 2 to get 256. ### Step 2: Divide 256 by 2 repeatedly. We will keep dividing 256 by 2 until we reach 1. 1. 256 ÷ 2 = 128 2. 128 ÷ 2 = 64 3. 64 ÷ 2 = 32 4. 32 ÷ 2 = 16 5. 16 ÷ 2 = 8 6. 8 ÷ 2 = 4 7. 4 ÷ 2 = 2 8. 2 ÷ 2 = 1 ### Step 3: Count the number of times we divided. We divided by 2 a total of 8 times to reach 1. ### Step 4: Express 256 as a power of 2. Since we multiplied 2 together 8 times, we can express 256 as: \[ 256 = 2^8 \] ### Final Answer: Thus, 256 can be expressed as \( 2^8 \). ---

To express 256 as a power of 2, we can follow these steps: ### Step 1: Start with the number 256. We need to find out how many times we can multiply 2 to get 256. ### Step 2: Divide 256 by 2 repeatedly. We will keep dividing 256 by 2 until we reach 1. ...
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Knowledge Check

  • Express 81^(-2) in the powers of 3

    A
    `3^(8)`
    B
    `(1//3)^(8)`
    C
    `3^(-6)`
    D
    `(1//3)`
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