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Any value - we'll say "x" - raised to a negative power is equal to one divided by that value to the absolute value of that same power. In other words:
x-y = 1 / (xy)
The easiest way to see why this is true is to think of how you would get to a negative power. Consider:
x4 / x = x3
x3 / x = x2
x2 / x = x1 (or simply "x")
As you can see, each time we divide by x, the the exponent is decreased by one. This holds true no matter how many times you do it:
x1 / x = x0 (which is the same as saying "x / x = 1")
x0 / x = x-1 (which can also be expressed as "1 / x = x-1")
x-1 / x = x-2 (or, (1/x) / x = 1/(x * x) = 1/x2)
What else can I help you with?
Can you have negative exponents in the denominator?
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
How do you change powers with negative exponents to powers with positive exponents?
by doing reciprocal
How do you figure out negative exponents?
They are the reciprocals of the positive exponents. Thus, x-a = 1/xa
How will you simplify expressions with negative exponents to get positive exponents?
A negative exponent becomes positive in the reciprocal. So if you have a number a^x where x is negative, then, a^x = 1/(a^-x) and, since x is negative, -x is positive.
How do you turn negative exponents into positive exponents?
Put the number with the exponent in the denominator of a fraction and take off the negative symbol. The numerator in that fraction should be 1. Example: 8-2 Converts to: 1 --- 82
Can you have negative exponents in the denominator?
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
Why do you have negative exponents?
Negative exponents are used to represent 1 divided by an a base to a specific exponent.
The exponents in the terms of a polynomial must be?
why the exponents can not be negative
When multiplying binomials that turn out negative do you add or subtract exponents?
When multiplying numbers with exponents, you add the exponents.
What is -5y-8 with positive exponents?
3
How do you change powers with negative exponents to powers with positive exponents?
by doing reciprocal
What is positive exponents?
Exponents that are NOT a negative exponent therefore they are mostly whole numbers kind of:)
How do you figure out negative exponents?
They are the reciprocals of the positive exponents. Thus, x-a = 1/xa
What is the math definition of Negative Exponent Property?
property of negative exponents
How to solve integer exponents?
Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.
What are negative exponents?
Exactly that ... negative exponents. For example: 1000 = 103 That is a positive exponent. .001 = 10-3 That is a negative exponent. For positive exponents, you move the decimal place that many positions to the right, adding zeros as needed. For negative exponents, you move the decimal place that many positions to the LEFT, adding zeros as needed. And, the special case is this: 100 = 1.
How will you simplify expressions with negative exponents to get positive exponents?
A negative exponent becomes positive in the reciprocal. So if you have a number a^x where x is negative, then, a^x = 1/(a^-x) and, since x is negative, -x is positive.
