Question

3^8 x 3^4/3^8 x 3^2

Answer 1

Answer:

(9)

=3^8×3^4/3^8×2^2

=6561×81/6561×9

=81/9

=9

Answer 2

Answer:

$3^{6}$ or 729

Step-by-step explanation:

$3^{8}$·$\frac{3^{4} }{3^{8} }$·$3^{2}$  The Quotient of Powers Property tells us that if we are dividing with exponents that have the same base, we can subtract the exponents.

$3^{8}$ · $3^{4-8}$·$3^{2}$

$3^{8}$ · $3^{-4}$ · $3^{2}$ The Product of Powers Property tells us that if the bases are the same when we are multiplying we can add the exponents.

$3^{6}$

Another way to look at it is to write it out in expanded form:

$\frac{3x3x3x3x3x3x3x3x3x3x3x3x3x3}{3x3x3x3x3x3x3x3}$  When you cancel out the 3's that you have on the top and the bottom, you are left with 6 3's on the top.