Which of the following is an equivalent expression to (2−3 ⋅93)−429 ⋅9−10 with only positive exponents, generated by applying the Properties of Integer Exponents?(1 point)

Responses

2−7⋅9−129⋅9−10
Start fraction 2 superscript negative 7 baseline times 9 superscript negative 1 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction

23 ⋅92
2 cubed times 9 squared

2392
Start Fraction 2 cubed over 9 squared end fraction

212⋅9−1229⋅9−10

1 answer

The equivalent expression with only positive exponents is:

2^(-7) * (9^(-1) / (2^9 * 9^(-10)))

Simplifying this expression further:

= 2^(-7) * (9^(-1) / 2^9) * 9^(-10)

Therefore, the correct option is:

2^(-7) * 9^(-1) * 2^(-9) * 9^(-10)