Simplify following and write the answers with only positive exponents.
(-10 z ^{2} y ^{-4} )^{2 }( z^{3} y )^{-5}
Solution
In this case we shall first employ property 10 on both terms and then we shall combine the terms by using property 1. Lastly, we will remove the negative exponents by using the definition of negative exponents.
(-10 z ^{2} y ^{-4} )^{2 }( z^{3} y )^{-5}= (-10)^{2} z ^{4 }y ^{-8} z ^{-15} y ^{-5} = 100z ^{-11} y ^{-13} = 100 /z^{11} y^{13}