The exponent rule for dividing like bases can be applied to scientific notation by dividing the coefficients and subtracting the exponents.
In scientific notation, a number is written as the product of a coefficient and a power of 10. For example, 6.02 x 10^23 is written in scientific notation.
When dividing two numbers written in scientific notation, we divide the coefficients and subtract the exponents of the powers of 10.
For example, let's divide (3.2 x 10^5) by (4 x 10^2):
First, divide the coefficients: 3.2 ÷ 4 = 0.8
Then, subtract the exponents: 10^5 - 10^2 = 10^(5-2) = 10^3
Therefore, (3.2 x 10^5) ÷ (4 x 10^2) = 0.8 x 10^3
Exponent rule for dividing like bases applied to scientific notation
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