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)

Question

Responses

2−7⋅9−129⋅9−10
23 ⋅92
2392
212⋅9−1229⋅9−10

Answer 1

To rewrite the expression with positive exponents, we can use the properties of exponents to simplify each term separately.

First, let's simplify (2 - 3 * 93). We start by multiplying 3 and 93: 3 * 93 = 279.
So we have (2 - 279). Simplifying this further, we subtract 279 from 2: 2 - 279 = -277.

Next, let's simplify (429 * 9 - 10). We start by multiplying 429 and 9: 429 * 9 = 3861.
So we have (3861 - 10). Simplifying this further, we subtract 10 from 3861: 3861 - 10 = 3851.

Finally, we have the expression (-277 * 3851). Multiplying these numbers, we get -106,127.

Therefore, the equivalent expression with positive exponents is: -106,127.