the half - life of uranium - 238 is 4.5×10^9 ...
the half - life of uranium - 238 is 4.5×10^9 years. the half - life of uranium - 234 is 2.5×10^5 years. how many times greater is the half life of uranium - 238 than that of uranium 234.\na 2.7×10^12\nb 3.1×10^(-14)\nc 1.8×10^14\nd 1.8×10^4
Answer
# Explanation:
## Step1: Set up the division
To find out how many times greater the half - life of uranium - 238 is than that of uranium - 234, we divide the half - life of uranium - 238 by the half - life of uranium - 234. So we have the expression $\frac{4.5\times10^{9}}{2.5\times10^{5}}$.
## Step2: Divide the coefficients and subtract the exponents
First, divide the coefficients: $\frac{4.5}{2.5}=1.8$. Then, use the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, so $\frac{10^{9}}{10^{5}}=10^{9 - 5}=10^{4}$.
## Step3: Combine the results
Multiply the results from step 2 together: $1.8\times10^{4}$.
# Answer:
D. $1.8\times 10^{4}$