Webb2 sep. 2016 · $\begingroup$ The example of the slope calculation perfectly illustrates why fractions with a negative denominator are needed: they naturally arise in the middle of calculations, even if at the end you can rewrite the result so denominators are not negative. And actually you can't always be sure about the denominator's sign. In algebra we may … Webb31 juli 2014 · Recall how equivalent fractions are created: multiply the original fraction by a fraction that equals one, where numerator and denominator have the same value. If we multiply the above result by 1 in the form of a negative one divided by itself to create another equivalent fraction: we end up with the negative sign in the denominator.
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Webb9 okt. 2024 · To simplify a fractional negative exponent, you must first convert to a fraction. If your starting base number is 16 − 1 / 2 {\displaystyle 16^{-1/2}} , start by … WebbMay 13, 2014 at 17:19. So should be bracketed as and be , rather than ? – ClickRick. May 13, 2014 at 17:43. Yes, because you're adding a positive fraction to a negative number. You can certainly write , if that's what you want. Just use the parentheses to make it explicit that you want the negative of all of. – amWhy. photo pixart
How do you compute negative numbers to fractional powers?
WebbThe negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base. So 2^ (-4) = 1/ (2^4) = 1/ (2*2*2*2) = 1/16. The answer is 1/16. Have a blessed, wonderful New Year! 3 comments ( 13 votes) Flag x_o 4 years ago WebbA fraction with a negative in the numerator only simplifies like this: −12 20 = −3×4 5×4 = −3 5 − 12 20 = − 3 × 4 5 × 4 = − 3 5. Now, what about a fraction with a negative in both … Webba, b < 0. If a and b are negative, then the square root of them must be imaginary: ⁺√a = xi. ⁺√b = yi. x and y must be positive (and of course real), because we are dealing with the principal square roots. ⁺√a • ⁺√b = xi (yi) = -xy. -xy must be a negative real number because x and y are both positive real numbers. how does raising rates lower inflation