Radical and Exponents Simplify the expressionfrac{(ab^2 c^-3}{2a^3 b^-4)}^{-2}

Exponential notation: “If ais any real number and nis a positive integer, then the \(n-th\ \text{power of a is}\ a^{n}=a \cdot a \cdot a \cdots a\ n\) factors where the number a is called as the base and n is called the exponent”. Calculation The given exponential expression is, \((\frac{5}{3})^0 \cdot 2^{-1}\) Use the above definition and simplify the given expression as shown below. \((\frac{5}{3})^0 \cdot 2^{-1}=1 \cdot \frac{1}{2}\)
\(= \frac{1}{2}\) Therefore, the value of exponential expression \((\frac{5}{3})^0 \cdot 2^{-1} is \frac{1}{2}\).