Question

Use the rules of exponents to evaluate or simplify. Write without negative exponents.

3.4⁰ = ?

a) 0
b) 1
c) 3.4
d) 3.4⁰

Answer 1

The correct answer to the question 3.4⁰ is b) 1, as any nonzero number raised to the power of 0 equals 1. Numbers were also correctly rewritten in scientific notation, and the rules for multiplying and dividing powers of 10 were explained.

Step-by-step explanation:

Rules of Exponents

To address the initial question, 3.4⁰, we apply the rule that any non-zero number raised to the power of 0 is 1. So, the answer is b) 1.

Scientific Notation Revisions

The following are the given numbers written in proper scientific notation:

a. 345.1 × 10² can be rewritten as 3.451 × 10´.

• b. 0.234 × 10⁻³ can be rewritten as 2.34 × 10⁻´.
• c. 1,800 × 10⁻² can be rewritten as 1.8 × 10´.

When multiplying powers of 10, add the exponents. For example: 10² × 10³ = 10⁵. To divide powers of 10, subtract the exponents. For example: 10⁶ / 10³ = 10³.