Question

Which expressions are equivalent to 5^12*5^8?

Choose 2 answers:

Answer 1

`{5}^(12) * {5}^(8) \\ = {5}^(12 + 8) \\ = {5}^(20)`

Therefore,

`a) \: {25}^(20) ≠ {5}^(20)`

`b) ({25}^(5) ) ^(4) \\ = {25}^(5 * 4) \\ = {25}^(20) \\ ( {25}^(5) )^(4) ≠ {5}^(20)`

`c) \: ( {5}^(3) . {5}^(2) ) ^(4) \\ = ({5}^(3 + 2)) ^(4) \\ = ({5}^(5) )^(4) \\ = {5}^(20)`

`d) \: {(5 ^(5)) }^(4) \\ = {5}^(5 * 4) \\ = {5}^(20)`

Answers:

`c)( {5}^(3) . {5}^(2) {)}^(4) \\ d) {(5}^(5) ) ^(4)`

Hope you could understand.

If you have any query, feel free to ask.