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Verified answer
A) a⁴b²-----------
a³
= (a³)(ab²)
----------------
(a³)
= ab²
b) (16p⁴ / 24q ) × ( 3q / 12p³ )
= (16p⁴)(3q)
-----------------
( 24q) ( 12p³)
= (4p³)(4p) × (3q)
-------------------------
(4p³)(3) × (3q)(8)
= (4p)
-----------
(3)(8)
= 4p
--------
24
= ( 4 )( p )
---------------
( 4 ) ( 6 )
= p
------
6
c) (2t)⁴ × t³
= 16t⁴ × t³
= 16t^7
d) m² × m^5 / m⁴
= (m² × m^5)
-------------------
m⁴
= m^7
----------
m⁴
= ( m⁴ ) (m³)
----------------
m⁴
= m³