(8x10-^7) divided by (2x10-^3)
To divide (8x10^-7) by (2x10^-3), you can divide the coefficients separately and subtract the exponents.
8 / 2 = 4
10^-7 / 10^-3 = 10^(-7-(-3)) = 10^-7+3 = 10^-4
Therefore, (8x10^-7) / (2x10^-3) simplifies to 4x10^-4.
To divide these two numbers with scientific notation, follow these steps:
Step 1: Divide the numerical coefficients (8 ÷ 2 = 4).
Step 2: Subtract the exponents (10^-7 ÷ 10^-3 = 10^-7 subtracted by -3).
Step 3: When subtracting negative exponents, remember that subtracting a negative number is the same as adding its positive equivalent. So, -7 subtracted by -3 is equal to -7 + 3 = -4.
Step 4: Rewrite the result combining the coefficient and exponent: 4 x 10^-4.
Therefore, (8x10^-7) divided by (2x10^-3) is equal to 4 x 10^-4.
To divide the given numbers with exponents, you need to apply the rule of dividing exponential terms.
Let's break it down step by step:
Step 1: Write the given numbers in scientific notation.
(8 x 10^(-7)) divided by (2 x 10^(-3))
Step 2: Divide the coefficients (numbers in front of the exponent).
8 / 2 = 4
Step 3: Divide the powers of 10 by subtracting the exponents.
10^(-7) / 10^(-3) = 10^(-7 - (-3)) = 10^(-7 + 3) = 10^(-4)
Step 4: Combine the coefficient and the exponent to express the answer in scientific notation.
4 x 10^(-4)
Therefore, (8x10^(-7)) divided by (2x10^(-3)) equals 4 x 10^(-4).