3-2 = 1/32 = 1/9
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An expression with a negative exponent is equivalent to the positive exponent of its reciprocal. Thus, 3-4 = 1/34 or, equivalently, (1/3)4 or (3/4)-2 = (4/3)2
A negative exponent of a number is the same as the reciprocal of that same number to the equivalent positive exponent.EXAMPLE : 2-3 = 1/23When multiplying powers of the same base the rule is, addthe exponents.So, if the initial exponent is negative then the number has to be multiplied by a power of that number with an equivalent positive exponent greater than the negative exponent.EXAMPLE : 2-3 x 25 = 2(-3+5) = 22 (As 5 > l3l then the resultant exponent is positive)
Negative exponents indicate that the number for which the exponent applies to should be placed under one. Ex: 2^(-3) also can be expressed as 1/(2^3) or 1/8. So, to eliminate the negative exponent, simply place the number (and the accompanying exponent) under one to make a fraction.
A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100
When you have a number raised to a negative exponent, you move to the left rather than the right in decimal places. E.g. 103 = 1000 10-3 = 0.001 More specifically, when you have a negative exponent, you are taking the reciprocal of what the positive exponent would give. 24 = 16, but 2-4=(1/16) ■