Question

Express 81-3 as a power with the base 3.​

Answer 1

Step-by-step explanation:

The numerator 81 can be written as the foirth power of 3 or 34 and the denominator 9 can be written as the square of 3 or 32 so the fiven fraction will become 3432

Answer 2

$81^{-3}=3^{-12}$

Tips:

Before we solve this problem, let us know some laws of Indices:

• $(x^{m})^{n}=x^{mn}$

• $a^{m}\times a^{n}=a^{m+n}$

Step-by-step explanation:

Here, $81=3\times 3\times 3\times 3=3^{4}$

Now, $(81)^{-3}$

$=(3^{4})^{-3}$

$=3^{4\times (-3)}$

$=3^{-12}$

where $3$ is the base of the expression.

#SPJ3