Simplify this expression and put your final answer in Scientific Notation: 2.7×1053.2×107
(4 points)
2.7 x 10^5/3.2 x 10^7
To simplify the expression, first divide 2.7 by 3.2:
2.7 / 3.2 = 0.84375
Next, divide 10^5 by 10^7:
10^5 / 10^7 = 10^-2
Therefore, the final answer in scientific notation is:
0.84375 x 10^-2 = 8.4375 x 10^-3
what do you do to the coefficients.
add, subtract, multiply or divide
To simplify expressions in scientific notation, you typically multiply or divide the coefficients. In this case, you divided the coefficient 2.7 by the coefficient 3.2 to simplify the expression.
what about to simplify the exponents.
To simplify expressions in scientific notation, when you multiply or divide numbers with exponents, you add or subtract the exponents. In the original expression, you are multiplying two numbers in scientific notation, which means you add the exponents of 10.
For multiplication:
a x 10^m * b x 10^n = a x b x 10^(m+n)
In your original expression, you multiplied 2.7 x 10^5 by 3.2 x 10^7. By multiplying the coefficients and adding the exponents, the result would be 8.64 x 10^12.