# Exponents and Powers

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Exponential form is a form involving two numbers written as an, where a is the base and n is the exponent.

Powers are a short way which shows, how many times a number is multiplied by itself.

In general for any non – zero integer ‘a’, a-m = 1/am, where m = positive integer, a-m is the multiplicative inverse of am.

Laws of exponents:

(i) am × an = a(m + n)

(ii) am ÷ an = a(m - n)

(iii) (am)n = amn

(iv) am × bm = (ab)m

(v) a0 = 1

(vi) am / bm = (a/b)m

When a number is multiplied with itself thrice, the product so obtained is called the cube of the number.

Consider a number an, where a is any number. Here, n is called the exponent.

A mathematical expression an, where a is any number, is called an exponential expression.

Powers are a short way which shows, how many types a number is multiplied by itself.

When a number is multiplied with itself, the product so obtained is called the square of the number.

A number expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10 is said to be in standard form. Standard form is also known as scientific notation.

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