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Why is the value of -3 to the 0 power negative but the value of parentheses-3parentheses to the 0 power positive?
-30 is the same as -(30) based on the order of operations. 30 is 1 and the opposite of it is -1. (-3)0 is taking the whole expression to the 0 power. Anything to the 0 power is 1.
Is the number 30 a power of 10 explain?
The answer depends on the level of mathematics you are at.If you define x = log(30) to the base 10 = approx 1.4771, then 10^x = 30 and so 30 IS a power of 10.If you are concerned only with integer powers, then the answer is NO, 10^1 = 10 and 10^2 = 100 and the power function is monotonic continuous. There is no integer between 1 and 2 and therefore there cannot be an integer power of 10 which is equal to 30.
What is 3 to 0 power times 2 to the 2 power?
30 x 22 = 1 x 4 = 4
What is -3 to the 1 power?
4
What rate of interest compounded annually is required to triple an investment in 30 years?
3.73% would do it almost exactly: Where p is the original investment and i is the rate of interest: 3p = p((1 + i/100) to the power of 30) dividing by p gives ((1 + i/100) to the power 30) = 3 using logarithms (log 3)/30 = 1 + i/100 antilog (0.47712/30) = 1 + i/100 antilog 0.0159 = 1 + i/100 1.037299 = 1 + i/100 0.037299 = i/100 i = 3.7299 Later: I tested this on Excel with capital of 5000 and interest rate of 3.73% and after 30 years investment was worth 15000.35!
