question 6 which calculator correctly shows the quotient of $\frac{6.47\times10^{-15}}{3.36\times10^{-29}}$?
question 6 which calculator correctly shows the quotient of $\frac{6.47\times10^{-15}}{3.36\times10^{-29}}$?
Answer
Explanation:
Step1: Divide the coefficients
Divide 6.47 by 3.36: $\frac{6.47}{3.36}\approx1.92559524$.
Step2: Divide the powers of 10
Use the rule $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = 10$, $m=-15$ and $n = - 29$. So $\frac{10^{-15}}{10^{-29}}=10^{-15-(-29)}=10^{-15 + 29}=10^{14}$.
Step3: Combine the results
The quotient is $1.92559524\times10^{14}$, which in scientific - notation on a calculator is shown as $1.92559524\text{e}+14$.
Answer:
$1.92559524\text{e}+14$