The expression (-2a^2b^3)(4ab^5)(6a^3b^2) can be simplified to what exponential espression
- 48 a ^ 6 b ^ 10
(-2asquaredb3)(4ab5)(6a3b2)
To simplify the expression (-2a^2b^3)(4ab^5)(6a^3b^2), you can combine the coefficients (numbers) and add the exponents of the variables.
Multiply the coefficients: -2 * 4 * 6 = -48.
Now, multiply the variables with the same base, a, together by adding their exponents: a^2 * a^3 * a^3 = a^(2+3+3) = a^8.
Similarly, multiply the variables with the same base, b, together by adding their exponents: b^3 * b^5 * b^2 = b^(3+5+2) = b^10.
Therefore, the simplified exponential expression is -48a^8b^10.
To simplify the expression (-2a^2b^3)(4ab^5)(6a^3b^2), we can multiply the coefficients and combine the variables with the same base.
Step 1: Multiply the coefficients (-2)(4)(6) = -48.
Step 2: Multiply the variables with the same base. For the variables with the base 'a', add the exponents, and for the variables with the base 'b', add the exponents.
a^2 * a^1 * a^3 = a^(2 + 1 + 3) = a^6
b^3 * b^5 * b^2 = b^(3 + 5 + 2) = b^10
Therefore, the expression (-2a^2b^3)(4ab^5)(6a^3b^2) simplifies to -48a^6b^10.