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

Choose 2 answers:

Which expressions are equivalent to 5^12*5^8? Choose 2 answers:-example-1
User Faryal
by
6.4k points

1 Answer

1 vote


{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.

User Npross
by
6.2k points
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