Question

The value of $(-3{)}^0-(-3{)}^3-(-3{)}^{-1}+(-3{)}^4-(-3{)}^{-2}$ is

• A. $109\frac{2}{9}$
• B. $109\frac{9}{2}$
• C. $109$
• D. None of these

Answer 1

Answer: (A)

$109\frac{2}{9}$

Given expression is $(-3{)}^0-(-3{)}^3-(-3{)}^{-1}+(-3{)}^4-(-3{)}^{-2}$

Using the law of exponent, $a^{-m}=\frac{1}{a^m}$, we can write it as:

$=1-(-27)-(-\frac{1}{3})$ $+81-\frac{1}{9}$

$=1+27+\frac{1}{3}+81-\frac{1}{9}$

$=109+\frac{2}{9}$

$=109\frac{2}{9}$

Hence, option A is correct.