No, there is a big difference between 2^(-4) and (-2)^4
The first is 1/16 and the second is 16.
A negative exponent is the reciprocal of a positive exponent. a^b is going to be 1/ (a^(-b)),
Similarly, (a^b)*(a^(-b))=1 for two reasons. First multiplying reciprocals cancels them out. Second, when you multiply the same base you add the exponents, so (a^b)*(a^(-b)) = a^0 which equals 1◄
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You look at the denominator first. Then you try to find out what exponents make the denominator. After doing that, you add a negative symbol to the smaller number on the exponent.
no exponent can make a number equal to zero, however any number with an exponent of zero is one.
The exponent tells you how many spaces to move the decimal, remember to add zeros as needed. If the exponent is negative make it a decimal number less than one by moving the decimal to the left. If the exponent is positive make the decimal number greater than one by moving the decimal to the right.
Yes: In algebra, an "exponent" is a number or symbol, written without any spacing but above the general base line, after another number or symbol that is on the general base line. If the exponent is a whole number, it shows how many times the symbol or number on the base line is to be multiplied by itself in calculating the value of any expression. For example, in the algebraic sentence, "x2 + y2 = 10", both of the numbers "2" are exponents.
Any non-zero fraction is the same as its reciprocal raised to the power of -1.So 3/4 = (4/3)-1 and there you have your negative exponent!