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What is 3 to the negative exponent 2?

Updated: 4/28/2022
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3-2 = 1/32 = 1/9

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Q: What is 3 to the negative exponent 2?
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What should you do to make a negative exponent positive in a reciprocal way?

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


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)


How do you get rid of negative exponents?

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.


What does it mean when an exponent is a negative number?

A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100


What is a negative exponent?

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) ■

Related questions

What should you do to make a negative exponent positive in a reciprocal way?

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


What is a negative integer exponent?

3^2 = 9 3^-2 = 1/9


What is the simple expressions of two y exponent of 3 times negative two x with exponent of negative one times three y to the exponent of four?

2y3 * (-2)x-1 * 3y4 = 2*(-2)*3*(1/x)*y3*y4 = -12y7/x


How do you simplify numbers when they have a negative rational exponent?

A negative exponent is simply the reciprocal.A rational exponent of the form p/q is the qth root of the pth power.So for example,x^(-2/3) = 1/x^(2/3) = 1/cuberoot(x^2) or, equivalently, 1/[cuberoot(x)]^2


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)


How do you get rid of negative exponents?

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.


What is two to the negative three exponent?

2-3= 0.125 or 1/8 2^(-3) = 1/2^3 = 1/8


When the base and the exponent is negative is the answer negative?

Not always. (-4)-2 = 1/(-4)2 = 1/16 which is positive. (-4)-3 = 1/(-4)3 = 1/(-64) which is negative.


What must you turn a negative exponent problem into?

A negative exponent is 1 over the base to the power of the absolute value of the exponent. For example 2 to the power of -1 is 1/2, 2 to the power of -2 is 1/4, or (1/2) squared, and 2 to the power of -3 is 1/8, or (1/2) cubed.


What does it mean when an exponent is a negative number?

A negative exponent is the reciprocal of the corresponding positive exponent. 102 = 100 10-2 = 1/100


How do you calculate a decimal to a negative fractional exponent?

The negative exponent is defined as the reciprocal of the positive exponent. Here is an example: 10-2/3 = 1/102/3 This, in turn, can be converted to a root. So, in the end result, you have: 1/102/3 = 1 / cubic root of (102) or 1 / (cubic root of 10)2


What do you do when multiplying a positive exponent by a negative exponent?

Example: (4x)-2 The answer to this would be 1/ 16x2. Multiply it out as if the negative exponent was not there ((4x)2), then that will be the denominator of the fraction. The numerator is one.