Question

what is equivalent to $(3^6)3$
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS

Answer 1

For this case we must indicate an expression equivalent to:

$(3 ^ 6) ^ 3$

For properties of powers we have to:

$(a ^ n) ^ m = a ^ {n * m}$

So, the above expression can be rewritten as:

$(3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}$

Thus, the resulting expression is: $3^{ 18}$

Answer:

$3^{ 18}$

Option D