How much greater is 2, point, 6, times, 10, to the power minus 42.6×10

Question

−4
than 5, point, 9, times, 10, to the power minus 55.9×10
−5
? Express your answer using either standard notation or scientific notation.
Answer
Attempt 1 out of 2

Standard Notation
Answer:

Answer 1

To answer this question, we need to subtract the second value from the first value.

2.6 times 10 to the power of -42.6x10^-4 is written as 2.6 x 10^(-42.6x10^-4)

5.9 times 10 to the power of -55.9x10^-5 is written as 5.9 x 10^(-55.9x10^-5)

To subtract these values, we need to subtract the coefficients (2.6 - 5.9) and subtract the exponents of 10 (-42.6x10^-4 - (-55.9x10^-5))

Simplifying the exponents:
-42.6x10^-4 + 55.9x10^-5 = -42.6 * 10^-4 + 55.9 * 10^-5 = (-42.6 - 5.59) * 10^-4 = -48.19*10^-4

Therefore, the difference is (2.6 - 5.9) times 10^(-48.19*10^-4) or -3.3 x 10^(-48.19*10^-4).

Expressing this in standard notation, the answer is -0.0000000000000000033.