Question

Please simplify the rational expression. [ frac{left(a^{-6} cdot b^{3} ight)^{frac{1}{2}}left(a^{frac{1}{4}} cdot b ight)^{frac{3}{2}}}{left(-2 a^{-2} ight)^{3}} ]

          Please simplify the rational expression.
[
frac{left(a^{-6} cdot b^{3}
ight)^{frac{1}{2}}left(a^{frac{1}{4}} cdot b
ight)^{frac{3}{2}}}{left(-2 a^{-2}
ight)^{3}}
]

$Please simplify the rational expression. [ fracleft(a^-6 cdot b^3 ight)^frac12left(a^frac14 cdot b ight)^frac32left(-2 a^-2 ight)^3 ]$

Added by Jordan S.

Intermediate Algebra: Connecting Concepts through Applications

Mark Clark; Cynthia Anfinson 2nd Edition

Chapter 7

Instant Answer

Solved by Expert Bradley Duda

07/18/2023

Step 1

In the numerator, we have \[ \left(a^{-6} \cdot b^{3}\right)^{\frac{1}{2}}\left(a^{\frac{1}{4}} \cdot b\right)^{\frac{3}{2}} \] When we raise a power to a power, we multiply the exponents. So, we get \[ a^{-3} \cdot b^{\frac{3}{2}} \cdot a^{\frac{3}{8}} \cdot Show more…

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