Simplify following and write the answers with only positive exponents.
(a) ( x^{8.2 }y ^{-0.26} z ^{2} )^{0.5}
(b) (x^{3} y ^{-4.1} / x^{-2.7} )^{-3}
Solution
(a) (x^{8.2 }y ^{-0.26} z ^{2} )^{0.5} = x^{4.1 }y^{0.13} z =( x^{4.1} z /y ^{-0.13} )
(b)
(x^{3} y ^{-4.1} / x^{-2.7} )^{-3}= x^{3} x^{2.7 }/y ^{4.1} =( x^{5.7 }/ y ^{4.1} )^{-3} =( y ^{4.1} / x^{5.7})^{3}= y^{12.3}/ x^{17.1}