Find the equivalent expression using the same basis (34•84) ^3

(2) ^9• (3) ^3• (7) ^3• (17) ^3

Step-by-step explanation:

(34•84) ^3

= (34) ^3• (84) ^3

= (2•17) ^3• (2•2•3•7) ^3

= (2) ^3• (17) ^3• (2) ^3• (2) ^3• (3) ^3• (7) ^3

= (2) ^ (3+3+3) • (17) ^3• (3) ^3• (7) ^3

= (2) ^9• (3) ^3• (7) ^3• (17) ^3

The answer is 2^9•3^3•7^3•17^3

Step-by-step explanation:

First, we simplify the expression inside bracket

34•84

= (2•17) • (2•42)

= (2•17) • (2•2•21)

= (2•17) • (2•2•3•7)

= 2^3•3•7•17

Substituting back

(34•84) ^3

= (2^3•3•7•17) ^3

= 2^9•3^3•7^3•17^3