ccss.hsa1e-qv.6 - Simplify and express your answer using positive exponents

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

STEP 1: Recall what are exponents

STEP 2: Recall the rules of exponents

STEP 3: Recall multiplication with exponents

STEP 4: Recall division with exponents

STEP 5: Simplify

\frac{x^{-4}.y^{3}.z^{5}}{x^{1}.y^{2}.z^{2}}

x^{-4}.y^{3}.z^{5}.x^{-1}.y^{-2}.z^{-2}(using the quotient rule)

= x^{-4-1}.y^{3-2}.z^{5-2}

= x^{-5}.y^{1}.z^{3}

And this can be written as

\frac{y.^{1}.z^{3}}{x^{5}} using the negative power rule