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

Radical and Exponents Simplify the expression $$(\frac{ab^2 c^{-3}}{2a^{3} b^{-4}})^{-2}$$

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 $$(\frac{5}{3})^0 \cdot 2^{-1} is \frac{1}{2}$$.