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5. $x(2x^{2})^{3}=$

Question

  1. $x(2x^{2})^{3}=$

Explanation:

Step1: Expand the power of product

$(2x^2)^3 = 2^3 \cdot (x^2)^3 = 8x^6$

Step2: Multiply by the leading term

$x \cdot 8x^6 = 8x^{1+6}$

Step3: Simplify the exponent

$8x^{7}$

Answer:

$8x^7$