Question

question 14(multiple choice worth 5 points) (01.07 lc) what is the product of 3.4 × 10−14 and 1.8 × 1028? 6.12 × 1014 9.4 × 1014 5.2 × 1042 6.12 × 1042

Answer 1

The product of (3.4 × 10⁻¹⁴) and (1.8 × 10²⁸) is 6.12 × 10¹⁴. Applying associative property and exponential rule, the required product is calculated.

What are the required properties?

The given products are decimals and exponentials. So, the required properties are the associative and exponential rules. They are as follows:

Associative property:

a×(b × c) = (a × b)×c

From this, we can also write,

(a × b) × (c × d) = (a × c) × (b × d)

Exponential rule:

The product of two exponentials is $a^m\times a^n = a^{m+n}$

Calculation:

The given values are

3.4 × 10⁻¹⁴ and 1.8 × 10²⁸

The product of these values is

(3.4 × 10⁻¹⁴) × (1.8 × 10²⁸)

Applying the associative property: (a × b) × (c × d) = (a × c) × (b × d);

⇒ (3.4 × 10⁻¹⁴) × (1.8 × 10²⁸) = (3.4 × 1.8) × (10⁻¹⁴ × 10²⁸)

Applying exponential rule: $a^m\times a^n = a^{m+n}$

⇒ 6.12 × 10⁻¹⁴⁺²⁸

⇒ 6.12 × 10¹⁴

Thus, the product of the given values is 6.12 × 10¹⁴. Option A is correct.

Learn more about the exponential rules here:

brainly.com/question/847241

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