Mathematics, 02.08.2019 15:30, Arealbot
Which expression is equivalent to [(3xy^-5)^3/(x^-2y^2)^-4]^-2? a. x^10y^14/729 b. x^22/18y^46 c. 729/x^10y^14 d. 18y^46/x^22
Answers: 2
![[\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}](/tpl/images/0162/2474/ddc5c.png)
![=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}](/tpl/images/0162/2474/e7260.png)
![=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}](/tpl/images/0162/2474/0a12c.png)
![=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}](/tpl/images/0162/2474/ce875.png)
![=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}](/tpl/images/0162/2474/c190f.png)
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Which expression is equivalent to [(3xy^-5)^3/(x^-2y^2)^-4]^-2? a. x^10y^14/729 b. x^22/18y^46 c. 7...
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