(2ab%5E2c)(-3b).jpeg "(-5a^2b)(2ab^2c)(-3b)")
Simplifying the Expression (-5a^2b)(2ab^2c)(-3b)
This expression involves multiplying three terms together. To simplify it, we'll use the properties of exponents and the commutative and associative properties of multiplication.
Step 1: Reorder and group similar terms
We can rearrange the terms to group the coefficients, the 'a' terms, the 'b' terms, and the 'c' term: (-5 * 2 * -3) * (a^2 * a) * (b * b^2 * b) * c
Step 2: Apply the exponent rules
Remember that when multiplying powers with the same base, we add the exponents: a^m * a^n = a^(m+n)
Applying this rule to our expression: (-5 * 2 * -3) * (a^(2+1)) * (b^(1+2+1)) * c
Step 3: Simplify the expression
Now, we can simplify the multiplication and exponents: 30 * a^3 * b^4 * c
Final Answer: The simplified expression is 30a^3b^4c.