Question

Complete this conjecture about multiplying powers of ten 10a over 10b= 10

Answer 1

For this case we have the following expression:

`(10 ^ a)/(10 ^ b)`

For power properties we have:

In the division, when we have the same base, the exponents are subtracted.

We then have to rewrite the expression:

`(10 ^ a)/(10 ^ b) = 10 ^ {a-b}`

Answer:

Completing the expression we have:

`(10 ^ a)/(10 ^ b) = 10 ^ {a-b}`