Question

Which expression shows an equivalent form of the expressions
9^7 . 9^3

Answer 1

For this case we must indicate an expression equivalent to:

`9 ^ 7 * 9 ^ 3 =`

By definition we have to, to multiply powers of the same base, we place the same base and add the exponents. That is to say:

`a ^ n * a ^ m = a ^ {n + m}`

Then, the given expression can be rewritten as:

`9 ^ 7 * 9 ^ 3 = 9^(7 + 3)= 9^(10)`

ANswer:

`9 ^ 7 * 9 ^ 3 = 9^(10)`