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A negative exponent is the same as the reciprocal of the number with a positive exponent.Thus 2^(-4) is the reciprocal of 2^4.

Now 2^4 = 16 and the reciprocal of 16 is 1/16 so 2^-4 = 1/(2^4) = 1/16 = 0.0625

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8y ago
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8y ago

It is: 2 to the power -4 = 1/16

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Q: What is 2 with a negative 4 exponent?
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Related questions

What is the negative exponent property?

When you have a negative exponent on, say, 4, it will be written 4^-2 You basically take the reciprocal of it and change the exponent to a positive one. 4^-2 would be 1/4^2


Where is the negative exponent key on a calculator?

negative 4 with negative 3 as an exponent


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


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 Is -2power2?

-2^2=-4 This is because -2^2 is the same as the expression -(2*2). When a negative number has an exponent greater than 2 it is negative.


What are the rules for a number with a negative exponent?

A number with a negative exponent should be treated as the reciprocal of that same number with the analogous positive exponent. For example, 42 = 16, but 4-2 = 1/42 = 1/16.


A negative exponent minus a negative exponent equals?

if its like this: (these are exponents by the way) -8 - (-4) = 4 * * * * * Unfortunately, that is wrong! -8 - (-4) = -8 + 4 = -4 not +4.


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 is the product of a negative number with an exponent and a positive number?

The result is a negative number which may or may not have an exponent. For example, -2*102 times 4 = -8*102 -2*102 times 0.04 = -8


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) ■


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.