What is equivalent to {5}^(3) * {5}^(4)A: {25}^(7)B: {5}^(7)C: {25}^(12)D: {5}^(12)

Question

What is equivalent to
`{5}^(3) * {5}^(4)`A:
`{25}^(7)`B:
`{5}^(7)`C:
`{25}^(12)`D:
`{5}^(12)`

Answer 1

Given

`5^3*5^4`

To find the equivalent, apply the indices product rule

That is

`a^b* a^c=a^(b+c)`

This implies

`5^3*5^4=5^(4+3)`

Simplify further

`5^(4+3)=5^7`

Therefore, the solution is option B

`5^7`