Question

learn and apply
select an answer.
which of these choices shows how to correctly evaluate $0.6^3$?

• $0.6^3 = 0.6 \times 0.6 \times 0.6 = 0.000216$
• $0.6^3 = 0.6 \times 3 = 1.8$
• $0.6^3 = 0.6 \times 0.6 \times 0.6 = 0.216$
• $0.6^3 = 0.6 \times 0.6 \times 0.6 = 21.6$

Explanation:

Step1: Define exponent rule

$a^n = \underbrace{a \times a \times ... \times a}_{n \text{ times}}$, so $0.6^3 = 0.6 \times 0.6 \times 0.6$

Step2: Calculate first multiplication

$0.6 \times 0.6 = 0.36$

Step3: Calculate final multiplication

$0.36 \times 0.6 = 0.216$

Answer:

0.6³ = 0.6 × 0.6 × 0.6 = 0.216