Question

sun the temperature of the suns surface is about $5.5 \times 10^3$ degrees celsius. the temperature of the suns core is about $2.7 \times 10^3$ times hotter than the surface. what is the approximate temperature of the suns core? \boxed{} degrees celsius

Explanation:

Step1: Identify given values

Surface temperature: $5.5 \times 10^3 \, ^\circ\text{C}$, core multiplier: $2.7 \times 10^3$

Step2: Multiply the two values

$$(5.5 \times 10^3) \times (2.7 \times 10^3) = (5.5 \times 2.7) \times (10^3 \times 10^3)$$

Step3: Calculate coefficient and exponents

$5.5 \times 2.7 = 14.85$; $10^3 \times 10^3 = 10^{3+3} = 10^6$

Step4: Combine results

$14.85 \times 10^6 = 1.485 \times 10^7$

Answer:

$1.485 \times 10^7$ (or 14850000) degrees Celsius