( 2a²b³ )² = ( 2a²b³ )( 2a²b³ )
= 4 a⁴ b⁶
If you were not sure of your working, in an exam you could check by giving a and b some numerical values, and using your calculator to see whether the answer gives the same result as the expression you started with.
e.g., set a=3, b=10
(2 x 9 x 1000) x (2 x 9 x 1000) = 324 000 000
4 x 81 x 1000000 = 324 000 000
( 2a²b³ )² = ( 2a²b³ )( 2a²b³ )
= 4 a⁴ b⁶
If you were not sure of your working, in an exam you could check by giving a and b some numerical values, and using your calculator to see whether the answer gives the same result as the expression you started with.
e.g., set a=3, b=10
(2 x 9 x 1000) x (2 x 9 x 1000) = 324 000 000
4 x 81 x 1000000 = 324 000 000
