Respuesta :

Hrishii

Answer:

[tex] 8x^6y^3[/tex]

Step-by-step explanation:

[tex](2 {x}^{2}y)^{3} \\ = {2}^{3} {x}^{2 \times 3} {y}^{3} \\ = 8 {x}^{6} {y}^{3} \\ [/tex]

The Expression of [tex](2x^{2} y)^{3}[/tex] is [tex]8x^{6} y^{3}[/tex] .

Step by step :

Use the power rule  [tex](ab)^{n} = a^{n} b^{n}[/tex] to distribute the exponent.

Apply the product rule to [tex]2x^{2}y.[/tex]

[tex](2x^{2})^{3} y^{3}[/tex]

Apply the product rule to [tex]2x^{2}[/tex]

[tex]2^{3} (x^{2} )^{3} y^{3}[/tex]

Raise 2 to the power of 3

[tex]8(x^{2}) ^{3} y^{3}[/tex]

Multiply the exponent in [tex](x^{2}) ^{3}[/tex]

Apply the power rule and multiply exponents, [tex](a^{m}) ^{n} = a^{mn}[/tex]

[tex]8x^{2.3} y^{3}[/tex]

Multiply 2 by 3

[tex]8x^{6} y^{3}[/tex]

How do you simplify an expression?

To simplify any algebraic expression, the following are the basic rules and steps:

  • Remove any grouping symbol such as brackets and parentheses by multiplying factors.
  • Use the exponent rule to remove grouping if the terms are containing exponents.
  • Combine the like terms by addition or subtraction.
  • Combine the constants.

Learn more about Expression here:

brainly.com/question/4344214

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