Question

simplify the expression below: (2x)^3 × (36x^10)^(1/2)

Explanation:

Step1: Expand the cubed term

$(2x)^3 = 2^3 \times x^3 = 8x^3$

Step2: Simplify the constant product

$36 \times \frac{1}{2} = 18$

Step3: Multiply all constant terms

$8 \times 18 = 144$

Step4: Multiply the variable terms

$x^3 \times x^{10} = x^{3+10} = x^{13}$

Step5: Combine constants and variables

$144 \times x^{13}$

Answer:

$144x^{13}$