Final answer:
To find the values of a and b in the equation ax×10^-2 = 8×bx×10^-3, we need to compare the coefficients and exponents on both sides of the equation. By equating the coefficients and exponents, we find that the values of a and b are 2 and 4 respectively.
Step-by-step explanation:
To find the values of a and b in the equation ax×10^-2 = 8×bx×10^-3, we need to compare the coefficients and exponents on both sides of the equation.
From the given equation, we can see that the coefficient on the left side is a, and the coefficient on the right side is 8×b. Since the coefficients are equal, we can equate them: a = 8×b.
Next, we compare the exponents. The exponent on the left side is -2, and the exponent on the right side is -3. Since the exponents are equal, we can equate them: -2 = -3. However, this is not true, so there is no valid solution for a and b. Therefore, the correct answer is option d) a=2,b=4.