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Q: Which is greater 2 to the power of 4 or 8 to the power of 2?

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8 is the smallest INTEGRAL power of 2 which is greater than 4.

2 power 12 is 8192 and 3 power 8 is 6561

8 / 2 = 4

No, they are equivalent.

No because 4/8 or 1/2 is greater than 1/4

3 raised to the third power is 3 x 3 x 3 = 27 The smallest number that cane be written as a power of 2,4, or 8 is 256, since 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2 to power 8 256 = 4 x 4 x 4 x 4 = 4 to power of 4 256 = 16 x 16 = 16 to power 2

No. The quotient is less than or greater than the dividend, depending on the sign of the fraction.4 / (1/2) = 8, which is greater than 4.4 / (-1/2) = -8, which is smaller than 4.-4 / (1/2) = -8, which is smaller than -4.-4 / (-1/2) = 8, which is greater than -4.

4 = 2² → 4^x = 2^(2x) We want 4^x > 40 Taking logs gives: x log 4 > log 40 → x > log 40 / log 4 This can be solved to find a value of x to be greater than (approx) 2.661 Thus 4^2.662 = 2^5324 ≈ 40.06 is an example. So all powers of 4 where the power is greater than approx 2.661 with 2 to the power of twice that power of 4 will solve the problem. If you are looking for integer powers of 2 and 4, then the first integer power of 4 is 4³ = 64 = 2^6, and the solutions are: 4^3 = 2^6 = 64 4^4 = 2^8 = 256 4^5 = 2^10 = 1024 etc.

8^(2/3) 8^(1/3) = 2, 2^2 = 4 -> 8^(2/3) = 4

No. 6 is greater than 8. 2/8 =1/4, 6/8=3/4.

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