Question

rest hundredth.
side length of the safe: $6.1\times10^{5}$
volume = $\square\times10^{\square}$

Explanation:

Step1: Cube the side length base

Calculate $(6.1)^3$:
$6.1 \times 6.1 \times 6.1 = 226.981$
Round to nearest hundredth: $226.98$

Step2: Cube the power of 10

Calculate $(10^5)^3$ using exponent rule $(a^m)^n=a^{m \times n}$:
$10^{5 \times 3}=10^{15}$

Step3: Adjust to scientific notation

Rewrite $226.98 \times 10^{15}$ to proper scientific notation (1 ≤ coefficient <10):
$226.98 = 2.2698$, so $2.2698 \times 10^{2} \times 10^{15} = 2.27 \times 10^{17}$
(Round coefficient to nearest hundredth)

Answer:

$2.27 \times 10^{17}$