Indices

To solve problems related to indices (or exponentials or powers), we need to have the list of laws of indices. So here are the laws/rules of indices. • $a^0=1$ • $a^{-1}=1/a$ • $a^{-n}=1/a^n$ • $a^{m+n}=a^m . a^n$ • $(a^m)^n=a^{m \times n}$ • $\frac{a^m}{a^n}=a^{m-n}$   Solved Problems Problem 1: Simplify $(81)^{3/4}$ Solution:  Note that $81=$ $3 \times … Read more

The index of a number is also known as the power or exponent. It actually tells us how many times we have to multiply the number by itself. For example, we consider $3^4.$ It means we have to multiply 3 by itself four times. In other words, $3^4=$ $3 \times 3 \times 3 \times 3$ … Read more