Q. 155 - Intermediate Algebra

Question

Simplify (a) $\left(3x{)}^2\right(5x)$ (b) $\left(2y{)}^3\right(6y)$

Step-by-Step Solution

Answer

Simplified expressions are

(a) $45x^3$ (b) $48y^4$

part (a) Step 1 Given information

$\left(3x{)}^2\right(5x)$

part (a) Step 2

$$\begin{gathered} \left(3x{)}^2\right(5x)=(3{)}^2\times x^2\times 5x \\ =9\times x^{2+1}\times 5 \\ =45x^3 \end{gathered}$$

part (b) Step 1 Given information

$\left(2y{)}^3\right(6y)$

part (b) Step 2

$$\begin{gathered} \left(2y{)}^3\right(6y)=(2{)}^3\times y^3\times 6y \\ =8\times y^{3+1}\times 6 \\ =48y^4 \end{gathered}$$