Respuesta :

The right question is;

Compare 9 × 10⁴ to 3 × 10².

This is about division in indices.

9 × 10⁴ is 300 greater than 3 × 10²

  • To solve this, let us simplify both terms;

9 × 10⁴ can be rewritten as; 3 × 3 × 10² × 10²

Because according to law of indices; [tex]a^{x}[/tex] × [tex]a^{y}[/tex] = [tex]a^{x + y}[/tex]

  • Now, we want to compare 3 × 3 × 10² × 10² to 3 × 10².

We can see that the first expression has extra 3 × 10² which is not in the second expression as the second one has only one.

  • Let us now divide to find out how much the first expression is larger the second one.

Thus;

(3 × 3 × 10² × 10²)/(3 × 10²)

This will give us 3 × 10² = 300.

Thus, 9 × 10⁴ is 300 greater than 3 × 10²

Read more at; https://brainly.com/question/4419547

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