Multiply and simplify where possible. Match each of the expressions with the expression to obtain a true statement.
-$3,920$
A) $( 14 \sqrt [ 3 ] { 196 } ) ( 20 \sqrt [ 3 ] { 14 } )$
B) $( 196 \sqrt [ 3 ] { 3 } ) ( 20 \sqrt [ 3 ] { 9 } )$
C) $( 196 \sqrt [ 3 ] { 42 } ) ( 20 \sqrt [ 3 ] { 196 } )$
D) $( 9 \sqrt [ 3 ] { 42 } ) ( 14 \sqrt [ 3 ] { 9 } )$

Question

Multiply and simplify where possible. Match each of the expressions with the expression to obtain a true statement.
-$3,920$ 
A) $( 14 \sqrt [ 3 ] { 196 } ) ( 20 \sqrt [ 3 ] { 14 } )$ 
B) $( 196 \sqrt [ 3 ] { 3 } ) ( 20 \sqrt [ 3 ] { 9 } )$ 
C) $( 196 \sqrt [ 3 ] { 42 } ) ( 20 \sqrt [ 3 ] { 196 } )$ 
D) $( 9 \sqrt [ 3 ] { 42 } ) ( 14 \sqrt [ 3 ] { 9 } )$

Quizplus · Accepted Answer

Multiplying the expressions in option A: $ ( 14 \sqrt [ 3 ] { 196 } ) ( 20 \sqrt [ 3 ] { 14 } ) = 280 \sqrt [ 3 ] { 196 \times 14 } = 280 \sqrt [ 3 ] { 2744 } = 280 \times 14 = 3920 $, which matches the given number.

Multiply and Simplify Where Possible 3,9203,9203,920 A) (141963)(20143)( 14 \sqrt [ 3 ] { 196 } ) ( 20 \sqrt [ 3 ] { 14 } )(143196​)(20314​)

Multiply and Simplify Where Possible $3,920$ A) $( 14 \sqrt [ 3 ] { 196 } ) ( 20 \sqrt [ 3 ] { 14 } )$