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we could evaluate to an expression by letting the negative exponent rule tells us that a number with a negative exponent should be put to the denominator

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A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power we write the reciprocal of the number and then solve it like positive exponents

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A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number

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we could evaluate to an expression with negative exponents You have to turn the negative exponent into a positive exponent also .

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the output values are positive for all values of x as x increases

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So I would tell them that in order to solve for a negative exponent you have to turn it into a fraction, and in order to do that you have to put the whole number as the denominator with the positive exponent, and the numerator will be a one.

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To show my understanding of negative exponents, I would explain my process on how to get the answers to expressions with negative exponents. For example, if there is 5^-2, I would use the answer I would get if the exponent is a positive, than switch it to a fraction since its a negative.

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The relationship between positive negative is that a negative exponent tell us how many many to divide a number and a positive exponent tells us how many time it will be mutiply .

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A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number.

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A negative exponent can become a positive exponent by converting it into a fraction.

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A negative exponent can become a positive exponent by converting it into a fraction.

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The relationship between the two are that they share they same answer but the negative exponent converts the answer to a fraction, not like the positive exponent

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Evaluate expressions that have a negative exponent is same as a positive exponent and the only difference is that the negative exponents give you fraction.

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to evaluate an expression with negative exponents You have to turn the negative exponent into a positive exponent and in order to do that you have to turn the it into a fraction so the 1 will be at numerator and the integer will be at the denominator with the positive exponent.

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Evaluating expressions that have a negative exponent is almost the same as a positive exponent. The difference is that negative exponents give you a fraction, so it would be the same answer as if were a positive, but it would be a denominator and 1 is always the numerator.

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They are decreasing if  0 < a < 1, and increasing if 1 < a.

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The exponential function output values are positive for all values of x. as x increases, the output values grow smaller, approaching zero.

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In an exponential function, the independent is the exponent, while the base is a constant.

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The characteristics of an exponential function is a graph that starts along the x-axis than slowly either decreases or increases into negative or positive infinity