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Express 256 as a power of 4?
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Express 256 as a power of 4?
Expressing 256 as a power of 4



  • First, we need to understand what it means to express a number as a power of another number.

  • A power is a way of writing a number that tells us how many times to multiply a number by itself.

  • For example, 2 to the power of 3 (written as 2^3) means 2 multiplied by itself three times, or 2 x 2 x 2 = 8.

  • So, if we want to express 256 as a power of 4, we need to find out how many times we need to multiply 4 by itself to get 256.

  • We can do this by dividing 256 by 4 repeatedly until we get a quotient of 1.

  • 256 ÷ 4 = 64

  • 64 ÷ 4 = 16

  • 16 ÷ 4 = 4

  • 4 ÷ 4 = 1

  • So, we can see that 256 is equal to 4^4, or 4 raised to the power of 4.



Conclusion



  • Therefore, we can express 256 as a power of 4 by writing it as 4^4.

  • This means that we can write 256 as 4 multiplied by itself four times: 4 x 4 x 4 x 4 = 256.

Community Answer
Express 256 as a power of 4?
4^4

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