Question

calculate.
\\(\frac{5 \times 10^6}{4 \times 10^4}\\)
write your answer in scientific notation.

Explanation:

Step1: Separate coefficients and powers of 10

We can rewrite the fraction as the product of two fractions: $\frac{5}{4} \times \frac{10^6}{10^4}$.

Step2: Simplify the coefficient

Calculate $\frac{5}{4} = 1.25$.

Step3: Simplify the power of 10

Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $\frac{10^6}{10^4}=10^{6 - 4}=10^2$.

Step4: Multiply the results

Multiply the coefficient and the power of 10: $1.25\times10^2$.

Answer:

$1.25\times 10^{2}$