simplify the expression (9.6×10^(-8))÷(2×10^(-15)). express your answer in scientific notation.

simplify the expression (9.6×10^(-8))÷(2×10^(-15)). express your answer in scientific notation.

simplify the expression (9.6×10^(-8))÷(2×10^(-15)). express your answer in scientific notation.

Answer

Explanation:

Step1: Divide the coefficients

$9.6\div2 = 4.8$

Step2: Divide the powers of 10

Using the rule $\frac{a^m}{a^n}=a^{m - n}$, for $10^{-8}\div10^{-15}$, we have $10^{-8-(-15)}=10^{-8 + 15}=10^{7}$

Step3: Combine the results

$4.8\times10^{7}$

Answer:

$4.8\times10^{7}$