SOLUTION: 19. simplify
(mn^2)^-3
36. (2a^2y^-4z^-5)^3
73. multiply and divide and write scientific notation for the result.
(5.2*10^5)(6.5*10^-2)
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Question 57429: 19. simplify
(mn^2)^-3
36. (2a^2y^-4z^-5)^3
73. multiply and divide and write scientific notation for the result.
(5.2*10^5)(6.5*10^-2)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
19. simplify
(mn^2)^-3
=(m^3n^6)^(-1)
=1/[m^3n^6)
---------------------
36. (2a^2y^-4z^-5)^3
This follows the form (a-b)^3=a^3-3a^2b+3ab^2-b^3
where a=2a^2y^-4
and b=4z^-5
=(2a^2y^-4)^3-3(2a^2y^-4)^2(4z^-5)+3(2a^2y^-4)(4z^-5)^2-(4z^-5)^3
This is a mess; I'll let you simplify it.
-----------------
73. multiply and divide and write scientific notation for the result.
(5.2*10^5)(6.5*10^-2)
=5.2*6.5*10^3
=33.8*10^3
=3.28*10^4
Cheers,
Stan H.
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