Chapter SH, Problem 7.1EP

To determine

To simplify expression ${(2x{y}^2)}^3(2x^2{y}^{3}z)$ .

Answer to Problem 7.1EP

  $16x^5{y}^{9}z$

Explanation of Solution

Given information:

  ${(2x{y}^2)}^3(2x^2{y}^{3}z)$

Calculation:

  ${(2x{y}^2)}^3(2x^2{y}^{3}z)$

Cubing inside bracket

  $={(2x{y}^2)}^3(2x^2{y}^{3}z)$

On cubing terms,

  $={(8x^3{y}^6)}^{}(2x^2{y}^{3}z)$

Removing parentheses by combining like terms

  $=8\times 2\times x^3\times x^2\times y^6\times y^3\times z$

Using exponent rules to get simplification,

  $=16x^5{y}^{9}z$