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How do you find the product or quotient using positive exponents when you have negative ones?

Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.


How do you multiply positive integers with negative exponents?

To multiply positive integers with negative exponents, first rewrite the expression using the property of exponents that states (a^{-n} = \frac{1}{a^n}). For example, if you have (3 \times 5^{-2}), you can express it as (3 \times \frac{1}{5^2}), which simplifies to (\frac{3}{25}). This method effectively converts the multiplication of a positive integer by a term with a negative exponent into a division operation.


What do Negative exponents indicate?

Raising a number to a negative exponent gives you the reciprocal of the same number raised to the corresponding positive exponent. For example, 32 = 9, so 3-2 = 1/9


What does the exponent or power mean in math?

An integer exponent is the number of times that a number is multiplied by itself. For example: if the exponent of a is 3, then it represents the number a3 = a*a*a. The laws of exponents can be extended to arrive at definitions of negative exponents [a-3 = 1/a3] and fractional exponents [a1/3 is the cube or third root of a]. These definitions can be further extended to exponents that are irrational numbers, or even complex number.


How do you add expontents?

If you mean ' "When" do you add exponents? ' then the answer is when the same base of equal or different exponents is multiplied. in other words, when you hav "3 exponent 3 times 4 exponent 5 " you can't add the exponents because the bases (3 and 4) aren't the same.

Related Questions

How do you change negative exponents to positive exponents?

If you have 10^-3 then you can consider it the same as (1/10^3) and you have changed the negative exponent to positive exponent. Similarly, if the original number is (1/10^-3), that is equivalent to 10^3. In most cases it is as simple as taking the reciprocal.


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.


what are 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 do you find the product or quotient using positive exponents when you have negative ones?

Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.


How do you multiply positive integers with negative exponents?

To multiply positive integers with negative exponents, first rewrite the expression using the property of exponents that states (a^{-n} = \frac{1}{a^n}). For example, if you have (3 \times 5^{-2}), you can express it as (3 \times \frac{1}{5^2}), which simplifies to (\frac{3}{25}). This method effectively converts the multiplication of a positive integer by a term with a negative exponent into a division operation.


What is (9)(9) in exponents?

A negative exponent is simply the reciprocal of the positive equivalent. For example 3-2 = 1/32 = 1/9


How do you change negative exponets to positive exponents?

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)


What do Negative exponents indicate?

Raising a number to a negative exponent gives you the reciprocal of the same number raised to the corresponding positive exponent. For example, 32 = 9, so 3-2 = 1/9


How do you divide a positive exponent by a negative exponent?

Division by a negative exponent is the same as multiplication by its positive counterpart. So the question becomes one of multiplying one positive exponent by another positive exponent. If the mantissa (bases) are the same, then you simply add the exponents: 34 / 3-7 = 34 * 3+7 = 34+7 = 311 If the bases are not the same, but the exponents have the same value (though second one negative), then multiply the bases and raise to the common exponent: 34 / 5-4 = 34 * 54 = (3*5)4 = 154 You may need to do some preliminary calculations to bring the numbers into one or the other of these forms. 34 / 16-2 = 34 * 162 = 34 * 44 = (3*4)4 = 124


What does the exponent or power mean in math?

An integer exponent is the number of times that a number is multiplied by itself. For example: if the exponent of a is 3, then it represents the number a3 = a*a*a. The laws of exponents can be extended to arrive at definitions of negative exponents [a-3 = 1/a3] and fractional exponents [a1/3 is the cube or third root of a]. These definitions can be further extended to exponents that are irrational numbers, or even complex number.


How do you add expontents?

If you mean ' "When" do you add exponents? ' then the answer is when the same base of equal or different exponents is multiplied. in other words, when you hav "3 exponent 3 times 4 exponent 5 " you can't add the exponents because the bases (3 and 4) aren't the same.


What is -5y-8 with positive exponents?

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