Simplify. Write in scientific notation. (9 × 10–3)2

Question

(1 point)
Responses

8.1 × 10–5
8.1 × 10 –5

81 × 10–4
81 × 10 –4

81 × 10–3
81 × 10 –3

8.1 × 10–6

Answer 1

To simplify (9 × 10–3)2, we need to multiply the number inside the parentheses by itself.

(9 × 10–3)2 = (9 × 10–3)(9 × 10–3)

When multiplying numbers written in scientific notation, you multiply the coefficients and add the exponents.

(9 × 10–3)(9 × 10–3) = 81 × 10–3+–3 = 81 × 10–6

So, the simplified form of (9 × 10–3)2 is 81 × 10–6.