Evaluating fractional exponents: negative unit-fraction

Feb 27, 2017 · Now we have a negative fractional exponent, and the key to this is to just not get too worried or intimidated by this, but just think about it step by step. Just ignore for the second that this is a fraction, and just look at this …

Author: Sal Khan

Negative Fractional Powers – Math Forum

Dec 09, 1998 · To start, a negative power is just a special instruction that says to take the reciprocal of the number before doing the powers or roots: 3^-2 = (1/3)^2 Then, if you have a fractional power, x^(a/b) it means raise x to the a power, then take the bth root of the answer.

Raising a number to a negative fraction power – Stack Exchange

You can read about negative exponents on wikipedia. You can solve problems like that with WolframAlpha.

$$9^{-\frac{3}{2}} = \frac{1}{9^\frac{3}{2}} = \frac{1}{\sqrt{9^3}} = \frac{1}{\sqrt{729}} = \frac{1}{27} $$ You can read about negative exponents on wikipedia . You can solve problems like that with WolframAlpha .Best answer · 2$$9^{-3/2}=\dfrac{1}{9^{3/2}}=\dfrac{1}{9\sqrt{9}}=\dfrac{1}{27}$$ In the second step, we use the following: $9^{3/2}=9^{1/2\,+\,1}=9^{1/2}\cdot9^1=9\sqrt{9}$.1Any number raised to the $-1$ power means taking the reciprocal. For example: $8^{-1}=1/8$. Now, $9^{-3/2}=(9^{3/2})^{-1}$1$$ 9^{-\tfrac{3}{2}} = \frac {1}{9^\tfrac{3}{2}} = \frac {1}{\sqrt{9^3}} = \frac{1}{\left(\sqrt{9}\right)^3} = \frac{1}{3^3} = \boxed {\dfrac{1}{27}}. $$1Just to answer the second part of your question, yes you can write

$\displaystyle 9^{-3/2} = \left( 9^{1/2} \right)^{-3} = \left(\sqrt{9}\right)^{-3}$. In general, $\frac{1}{n}$ powers are equal to $n$th roots. Just be careful with $n$ even and the base negative (real-number roots may not exist). This becomes $3^{-3} = \frac{1}{3^3} = \frac{1}{27}$, so you do get the same answer.1

Negative Number raised to fractional power – Stack Exchange |

How do you compute negative numbers to fractional powers? |

NEGATIVE AND FRACTIONAL POWERS – YouTube

Mar 16, 2011 · The Secret Behind Numbers 369 Tesla Code Is Finally REVEALED! (without music) – Duration: 12:05. Gary Lite Recommended for you

Author: MathsMasterOrg

Math Practice: Negative and Fractional Exponents – magoosh.com

Negative exponents translate to fractions. For example, 4-3 = 1/(4 3) = 1/64. The more negative the exponent, the smaller the value. This is especially important in the sciences when talking about orders of magnitude (how big or small things are). In fact, the positive and negative powers of 10 are essential in scientific notation.

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Negative and fractional powers – mathcentre.ac.uk

Negative and fractional powers. mc-indices2-2009-1 In many calculations you will need to use negative and fractional powers. These are explained on this leaﬂet. Negative powers. Negative powers are interpreted as follows: a−m = 1 a m. or equivalently am = 1 a−. Examples 3−2 = 1 32. , 1 5−2.

SparkNotes: Exponential Functions: Negative and Fractional

Negative and Fractional Exponents Much of the material in this section is a review of the material covered in the Pre-Algebra SparkNote on Powers, Exponents, and Roots.. Negative Exponents

Power rule (negative & fractional powers) (practice

Power rule (negative & fractional powers) Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. Donate or volunteer today!

Fractional (Rational) Exponents | Purplemath

Fractional (Rational) Exponents. Basic Rules Negative Sci. Not’n Eng. Not’n Fractional. If they give you x 4/6, then a negative x becomes positive (because of the fourth power) and is then sixth-rooted, you can get around the problem. By splitting the numerator and denominator of the fractional power, you can enter the expression so

Fractional Exponents – Math is Fun

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Evaluating negative fractional powers? | Yahoo Answers

Feb 03, 2008 · The rule for negative powers is: a^-n = 1/a^n or 1/a^-n = a^n In other words, you can make the power positive by either bringing the expression in the numerator or in th denominator as the case may be. Fractional powers of the form 1/n, where n > 0 and whole number is equivalent to taking the nth root of the base. Thus, a^(1/n) = nth root of a.

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Negative Exponents | Purplemath

Once you’ve learned about negative numbers, you can also learn about negative powers. A negative exponent just means that the base is on the wrong side of the fraction line, so …

Calculator Use. Use this calculator to find the fractional exponent of a number x. With fractional exponents you are solving for the d th root of the number x raised to the power n. For example, the following are the same: