Question

question 6
which calculator correctly shows the quotient of \\(\frac{6.47 \times 10^{-15}}{3.36 \times 10^{-29}}\\)?
1.92559524e-14 1.92559524e-44
1.92559524e+14 1.92559524e+29

Explanation:

Step1: Divide the coefficients

Divide \( 6.47 \) by \( 3.36 \): \( \frac{6.47}{3.36} \approx 1.92559524 \)

Step2: Subtract the exponents of 10

For \( 10^{-15} \div 10^{-29} \), use the rule \( \frac{10^a}{10^b}=10^{a - b} \). So \( -15-(-29)=-15 + 29 = 14 \)

Step3: Combine results

The quotient is \( 1.92559524\times10^{14} \), which matches the calculator showing \( 1.92559524e + 14 \) (the bottom - left calculator).

Answer:

The calculator with the display \( 1.92559524e+14 \) (the bottom - left calculator among the four shown)