Question

How do i rewrite this using a single positive exponent ?

Answer 1

The expression
`\( (9^(-6))/(9^(-2)) \)` is simplified to
`\( 9^(-4) \)` using the quotient rule for exponents, where the exponents are subtracted, resulting in a single positive exponent.

To rewrite
`\( (9^(-6))/(9^(-2)) \)` with a single positive exponent, you can use the quotient rule for exponents, which states that
`\( a^m / a^n = a^(m-n) \).`

Applying this rule to the given expression:

`\[ (9^(-6))/(9^(-2)) = 9^(-6-(-2)) \]`

Simplify the exponent:

`\[ 9^(-6+2) = 9^(-4) \]`

Therefore,
`\( (9^(-6))/(9^(-2)) \)` can be rewritten as
`\( 9^(-4) \)` with a single positive exponent.