Question

What is the value of 9^−6/9^−4?

Answer 1

1/81

Steps:

move 9^-6 to the denominator using the negative exponent rule

b^-n=1/b^n

1/9^-4 x 9^6

Multiply 9^-4 by 9^6 by adding the exponents

1/9^2

Raise 9 to the power of 2

1/81

Answer 2

`(1)/(81)`

Explanation:

using the property of exponents

•
`(a^(m) )/(a^(n) )` =
`(1)/(a^((n-m)) )` , then

`(9^(-6) )/(9^(-4) )`

=
`(1)/(9^((-4-(-6))) )`

=
`(1)/(9^((-4+6)) )`

=
`(1)/(9^2)`

=
`(1)/(81)`