Question

Simplify give reason 36 hold the power of 3 into 216 power of minus 1 into 9 ^ 10 into 1 by 6 ^ 3

Answer 1

Answer:

3 raise to the power 20

Step-by-step explanation:

Let us write it down first

$36^{3}*216^{-1}*9^{10}*(1/6^{3})$

Change the base to 6 where we can

$[tex](6^{2})^{3}*(6^{3})^{-1}*(3^{2})^{10}*(6^{-3})$[/tex]

Using

$(a^{m})^{n} = a^{m*n}  \\\\a^{m}*a^{n} = a^{m+n}\\\\\frac{1}{a^{m}}=a^{-m}$

We get,

$6^{0}*3^{20} = 3^{20}$