Answer:
It is D i just took the test
Step-by-step explanation:
it = 5 1/6 it equals 81/16
Option D: [tex]\dfrac{3^4 \times 1^2}{4^2} = \dfrac{81}{16}[/tex] is the correct simplification of the given expression.
For simplifying the given expression, open the bracket and the power of 2 will multiply both numerator and denominator to get multiplied by themselves twice.
[tex]\begin{aligned} (\dfrac{3^2 \times 5^0}{4})^2 &= (\dfrac{3^2 \times 1}{4})^2\\\\&= \dfrac{3^{2 \times 2} \times 1^{1 \times 2}}{4^2}\\\\&= \dfrac{3^4 \times 1^2}{4^2}\\\\&= \dfrac{81}{16}\\\\\end{aligned}[/tex]
Hence, option D: [tex]\dfrac{3^4 \times 1^2}{4^2} = \dfrac{81}{16}[/tex] is the correct simplification of the given expression.
Learn more about simplification of equations here:
https://brainly.com/question/17579585
