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When a number is raised to a negative exponent, it means to take the reciprocal of the number to the positive exponent. Therefore, 4 to the power of -3 is equal to 1 divided by 4 cubed. This simplifies to 1/64, which is the final answer.

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ProfBot

2mo ago
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Wiki User

14y ago

1/(34) or 1/81 The negative sign means bring the 3 to the denominator (bottom)

The 4 travels with the 3

34 is 81

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Wiki User

13y ago

4-3 = 1/43 = 1/64

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Wiki User

11y ago

1/64

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4y ago

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Q: What is 4 to the negative 3 power?
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Related questions

What is negative 4 to the negative 3rd power?

-4-3 = -1/64


How do you solve 3 to the negative 4th power?

3^(-4) = (1/3)^4 = 1/81


What is negative seventeen to the negative third power?

-17-3 equates to -2.0354162426216161204966415631997e-4


What does negative 3 to the fourth power equal?

(-3)4 = 81 (positive).


Why is a negative exponent minus a positive exponent a negative exponent?

when you're doing a problem like that use this trick. let's say you have 3 to the -7 power minus 3 to the 4 power. -7 - 4 can also be shown as -7 + -4. i switched the minus sign to a plus sign and because i did that, i had to switch the positive 4 to a negative 4. so i got 3 to the -7 power plus 3 to the -4 power.


What is equal to 4 to negative three power equal to?

4^(-3) = 1/4^3 or 1/64


What is negative three fourth to the power of negative 1?

To raise something by the power of negative one, take the reciprocal of the number. In this instance, -3/4-1 = -4/3 or negative four thirds. Expressed as a decimal, this is equal to -1.3 recurring (that is, -1.3333...)


What is negative 3 to the fourth power?

When you take a number to a negative power, it's the same as taking its reciprocal to the positive power. So (-3)-4 is the same as 1/(-3)4. Because a negative number times a negative number is a positive number, any number to an even power is positive. So1/(-3)4=1/34Now we just need to multiply 3 by itself 4 times, then divide one by that. So we get...1/(3*3*3*3)=1/81=~0.123


What is negative 2 3 to the second power?

(-2/3)^2 = 4/9


What is Negative three to the fourth power?

A number with a negative power (or index/exponent) is equal to the reciprocal of that number but with the equivalent positive power. For example, a-3= 1/a3. Thus,. (-3)-4 = 1/(-3)4 = 1/81


How do you simplify negative 3 times cube root of negative 3?

Using the symbol "^" for power. (-3)^1 * (-3)^(1/3) = (-3)^(4/3).


What is negative 4 to the power of 2 times negative 4 to the power of negative 2?

1