Question

which of these choices shows how to correctly evaluate $0.3^5$?
a) $0.3^5 = 0.3 \times 5 = 1.5$
b) $0.3^5 = 0.03 \times 0.03 \times 0.03 \times 0.03 \times 0.03 = 0.0000000243$
c) $0.3^5 = 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 = 0.00243$
d) $0.3^5 = 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 = 0.243$

Explanation:

Step1: Define exponent rule

$a^n = \underbrace{a \times a \times ... \times a}_{n \text{ times}}$

Step2: Apply rule to $0.3^5$

$0.3^5 = 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3$

Step3: Calculate step-by-step

$0.3 \times 0.3 = 0.09$
$0.09 \times 0.3 = 0.027$
$0.027 \times 0.3 = 0.0081$
$0.0081 \times 0.3 = 0.00243$

Answer:

C) $0.3^5 = 0.3 \times 0.3 \times 0.3 \times 0.3 \times 0.3 = 0.00243$