Question

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

Answer 1

The answer is 2^9•3^3•7^3•17^3

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

Answer 2

(2)^9•(3)^3•(7)^3•(17)^3

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