Simplify an expression.

Don't know how to do this.

Simplify the expression, show steps:

$$\large \dfrac {a^{-\frac 14}a^{\frac 32}}{a^{\frac 13}}$$ Write the answer using only positive exponents. Assume that all variables are positive real numbers.

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Hint: Negative power is the inverse of the positive power. – Sigur Nov 22 '13 at 15:47
Are you familiar with mathworld.wolfram.com/ExponentLaws.html? – Amzoti Nov 22 '13 at 15:47
Google "negative fraction powers" and see where it will take you... – JMCF125 Nov 22 '13 at 17:04

1 Answer

Recall:

$$a^{-b} = \frac 1{a^b}$$

$$a^b\cdot a^c = a^{b + c}$$

$$\dfrac{a^b}{a^c} = a^{b - c}$$

See what you can do with these properties.

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I like the hint approach +1 – Amzoti Nov 23 '13 at 2:04