Question

Which is the simplified form of the expression (6^-4)^-9/6^6

Answer 1

Given expression: $\frac{((6^{-4})^{-9})}{6^6}$.

First we would apply exponents of exponent rule on the top.

$(a^m)^n= a^{m\times n}$

Therefore,

$((6^{-4})^{-9}) = (6)^{-4\times -9} = (6)^{36}$

=$\frac{((6^{-4})^{-9})}{6^6} = \frac{6^36}{6^6}$

Applying quotient rule of exponents.

$\frac{a^m}{a^n} = a^{m-n}$

$Therefore \ \frac{6^{36}}{6^6} =6^{36-6}$

= $6^{30}$

Therefore,  $6^{30}$ is the simplified form of the expression $\frac{((6^{-4})^{-9})}{6^6}.$

Answer 2

Answer:

Should be 6^30

Step-by-step explanation: