For what value of a will 8×10^3 be 40 times larger than a×10^2 ?
To find the value of a, we can set up an equation using the given information.
We know that 8×10^3 is 40 times larger than a×10^2.
Mathematically, this can be expressed as:
8×10^3 = 40(a×10^2)
To simplify the equation, we can multiply 40 with a:
8×10^3 = 40a×10^2
Next, we can simplify the powers of 10 by applying the rules of exponents:
8×10^3 = 40a×10^(2+3)
This simplifies to:
8×10^3 = 40a×10^5
Since the bases are equal (10), we can equate the respective exponents:
3 = 5
This equation is not possible since 3 is not equal to 5. Therefore, there is no value of a that would make 8×10^3 40 times larger than a×10^2.