Question

Simplify each expression.

$\left(6a{b}^3{c}^4\right)\left(-3a^2{b}^{3}c\right)$

Short answer

The required simplified value is represented by $\mathbf{-}\mathbf{18}{\mathit{a}}^{\mathbf{3}}{\mathit{b}}^{\mathbf{6}}{\mathit{c}}^{\mathbf{5}}$.

Step-by-step solution

Step 1. Write the variables in a separate parenthesis.

Isolate the variables by using the separate parentheses.

$\left(6\cdot \left(-3\right)\right)\left(a\cdot a^2\cdot b^3\cdot b^3\cdot c^4\cdot c\right)$

Step 2. Simplify the exponential terms.

Perform addition between the exponents having the same bases.

$-18a^{1+2}{b}^{3+3}{c}^{4+1}=-18a^3{b}^6{c}^5$

Step 3. Write the conclusion.

The obtained expression is$-18a^3{b}^6{c}^5$ which cannot be simplified further so it’s the required simplification.