Evaluate the expression using exponential rules. Write the result in standard notation.
0.4x10^-7 over 4x10^-5
To evaluate the expression, we use the rules of exponents:
0.4 x 10^-7 ÷ 4 x 10^-5
First, divide the numbers 0.4 ÷ 4, giving us 0.1.
Next, subtract the exponents: -7 - (-5) = -7 + 5 = -2.
Therefore, the expression simplifies to 0.1 x 10^-2.
In standard notation, this can be written as:
0.1 x 10^-2 = 0.01