Question

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

Answer 1

For this case we have the following expression:

$\frac{10 ^ a}{10 ^ b}$

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:

$\frac{10 ^ a}{10 ^ b} = 10 ^ {a-b}$

Answer:

Completing the expression we have:

$\frac{10 ^ a}{10 ^ b} = 10 ^ {a-b}$