Chapter SH, Problem 7.2EP

To determine

To simplify expression $(2a{b}^2{c}^3)(3a{d}^2)2$ .

Answer to Problem 7.2EP

  $18a^3{b}^2{c}^3{d}^4$

Explanation of Solution

Given information:

Expression $(2a{b}^2{c}^3)(3a{d}^2)2$

Calculation:

  $(2a{b}^2{c}^3)(3a{d}^2)2$

Squaring inside bracket

  $=(2a{b}^2{c}^3){(3a{d}^2)}^2$

On Squaring term,

  $=(2a{b}^2{c}^3)(3a^2{d}^4)$

Removing parentheses by combining like terms

  $=2\times 9\times a\times a^2\times b^2\times c^3\times d^4$

Using exponent rules to get simplification,

  $=18a^3{b}^2{c}^3{d}^4$