Answer:
[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]
Step-by-step explanation:
This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.
[tex](8x^6y^3z)^2[/tex]
Remember that a variable without an exponent has an implied exponent of 1.
[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]
Solve the coefficient's exponent.
[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]
Multiply the exponents.
[tex]64x^{12}y^{6}z^{2}[/tex]
So, the expression given is equal to Choice D: 64x¹²y⁶z²
