The indicator at sedate expression specifies how many times number will be multiplied by itself at construction in this degree. And how to build number in negative degree? ""Number of times"" is not negative. To solve this problem, it is necessary to bring this expression into a normal look: to attach to degree positive significance.
Instruction
1. To calculate values of the number having a negative exponent bring this number into a look in which the exponent will gain positive value. All numbers with negative degree can be presented in the form of a common fraction in which numerator there is unit, and in a denominator – initial numerical expression with the same degree which only already have the sign ""plus"". (cm drawing). If to accept designations, necessary for examples: 3^-5 – three in minus of the fifth degree, 3^5 – three in the fifth degree, solutions of similar tasks will have the appearance shown in examples. Example: 3^-5 = 1/3^5. Three in minus of the fifth degree it is equal to fraction: unit divided into three in the fifth degree.
2. The sedate expression given to a fractional look does not become complicated, and will just be transformed. It is simple to solve it further. Build the number standing in a denominator in degree. The fraction where in numerator there is, still, unit, and in a denominator - the number which is already built in degree will turn out. Example: 3^-5 = 1/3^5 = 1/3 * 3 * 3 * 3 * 3 = 1/243. Unit divided into three in the fifth degree is equal to unit divided into two hundred forty three. In a denominator number three is built in the fifth degree, that is five times are increased by themselves. The common proper fraction turned out.
3. Further, if you accept this fraction, take it for the answer if is not present, calculate further. For this purpose divide numerator into a denominator, that is unit on the number built in degree. Example: 3^-5 = 1/3^5 = 1/3 * 3 * 3 * 3 * 3 = 1/243 = 0.0041. The common fraction became equal decimal, rounded to ten-thousand shares. At division of numerator into a denominator (for transfer of a common fraction to decimal) often the answer turns out with the big rest (long value of a fractional part at the answer). In such cases it is accepted just to round decimal fraction to convenient shares.