Powers and Roots – Simplify an expression with powers – Exercise 5564 Post category:Powers and Roots Post comments:0 Comments Exercise Simplify the expression: (a−5b3)−4⋅(a4)−2(a−2)−6⋅b−3⋅b−9\frac{{(a^{-5} b^3)}^{-4}\cdot {(a^4)}^{-2}}{{(a^{-2})}^{-6}\cdot b^{-3}\cdot b^{-9}}(a−2)−6⋅b−3⋅b−9(a−5b3)−4⋅(a4)−2 Final Answer Show final answer (a−5b3)−4⋅(a4)−2(a−2)−6⋅b−3⋅b−9=1\frac{{(a^{-5} b^3)}^{-4}\cdot {(a^4)}^{-2}}{{(a^{-2})}^{-6}\cdot b^{-3}\cdot b^{-9}}=1(a−2)−6⋅b−3⋅b−9(a−5b3)−4⋅(a4)−2=1 Solution Using Powers and Roots rules we get: (a−5b3)−4⋅(a4)−2(a−2)−6⋅b−3⋅b−9=\frac{{(a^{-5} b^3)}^{-4}\cdot {(a^4)}^{-2}}{{(a^{-2})}^{-6}\cdot b^{-3}\cdot b^{-9}}=(a−2)−6⋅b−3⋅b−9(a−5b3)−4⋅(a4)−2= =a20⋅b−12⋅a−8a12⋅b−12==\frac{a^{20}\cdot b^{-12}\cdot a^{-8}}{a^{12}\cdot b^{-12}}==a12⋅b−12a20⋅b−12⋅a−8= =a12⋅b−12a12⋅b−12==\frac{a^{12}\cdot b^{-12}}{a^{12}\cdot b^{-12}}==a12⋅b−12a12⋅b−12= =1=1=1 Share with Friends Read more articles Previous PostPowers and Roots – Simplify an expression with roots – Exercise 1644 Next PostPowers and Roots – Simplify an expression with powers – Exercise 5570 You Might Also Like Powers and Roots – factorization of polynomial – Exercise 5594 June 25, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5673 June 26, 2019 Powers and Roots – Solving exponential equation – Exercise 5577 June 24, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5682 June 26, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5676 June 26, 2019 Powers and Roots – Simplify an expression with powers – Exercise 5570 June 24, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
