6b^3/2a^2 b^3 simplify
To simplify the expression 6b^3/2a^2 b^3, we can first multiply the numerical coefficients, which gives us 6/2 = 3.
Next, we can simplify the variables b^3/b^3 by subtracting the exponents. This gives us b^(3-3) = b^0 = 1.
So, the simplified expression is 3 * 1 = 3.
To simplify this expression, you can use the laws of exponents.
Step 1: Simplify the numerator:
6b^3 can be written as 6 * (b * b * b) = 6b * b * b = 6b^3.
Step 2: Simplify the denominator:
2a^2b^3 can be written as (2 * a * a) * (b * b * b) = 2a^2 * b^3.
Step 3: Divide the numerator by the denominator:
(6b^3) / (2a^2b^3) = 6b^3 / (2a^2 * b^3).
Step 4: Cancel out the b terms that appear in both the numerator and denominator:
6b^3 / (2a^2 * b^3) = 6 / 2a^2.
Step 5: Simplify the expression further:
6 / 2a^2 = 3 / a^2.
Therefore, the simplified expression is 3 / a^2.
To simplify the expression 6b^3/2a^2 * b^3, we can perform the following steps:
Step 1: Multiply the coefficients: 6 * 1 = 6.
Step 2: Multiply the variables with the same base: b^3 * b^3 = b^(3 + 3) = b^6.
Step 3: Divide the exponents with the same base: b^6 / b^2 = b^(6 - 2) = b^4.
Step 4: Combine the results: 6 * b^4 = 6b^4.
Therefore, the simplified expression is 6b^4.