Respuesta :
Answer:
(2.06x102x1.88 x 10-1) <7.69x 10
2.3x10-5
Step-by-step explanation:
The correct statement of the given indices is; A: (2.06 × 10⁻²)(1.88 × 10⁻¹) < (7.69 × 10⁻²)/(2.3 × 10⁻⁵)
How to interprete indices?
Let us first look at the left hand side;
2.06 × 10⁻² = 0.0206
1.88 × 10⁻¹ = 0.188
Thus the product is;
0.0206 * 0.188 = 0.0038728 = 3.8728 * 10⁻³
Now, for the right hand side, we have;
7.69 × 10⁻² = 0.0769
2.3 × 10⁻⁵ = 0.000023
Thus, when we divide we have;
0.0769/0.000023 = 3.3435 * 10³
Thus, left hand side is less than right hand side and as such option A is correct.
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