# AP Board 7th Class Maths Notes Chapter 11 Exponents

Students can go through AP Board 7th Class Maths Notes Chapter 11 Exponents to understand and remember the concepts easily.

## AP State Board Syllabus 7th Class Maths Notes Chapter 11 Exponents

→ Very large numbers are easier to read, write and understand when expressed in exponential form.
Eg : 10000 = 104
8 × 8 × 8 × 8 × 8 × ….. × 8 (16 times) = 816.

→ When a number is multiplied by itself for many number of times (repeated multiplication) then we write it in exponential form.
Eg : 2 × 2 × 2 × 2 = 24 Here 2 is base 4 is exponent.
3 × 3 × 3 × 3 × 3 = 35 Here 3 is base 5 is exponent.

→ a . a . a . a ….. a (m times) = am.

→ Here ‘a’ is called the base and ‘m’ is called the exponent.

→ Laws of exponents

i) am × an = am+n

ii)  (am)n = amn

iii) (ab)m = am . bm

iv) am = an ⇒ m = n

v) a-n = $$\frac{1}{a^{n}}$$

vi) $$\frac{\mathrm{a}^{\mathrm{m}}}{\mathrm{a}^{\mathrm{n}}}$$ = am-n  if (m > n)
= $$\frac{1}{a^{n-m}}$$  if (m < n)
= 1 if (m = n)

vii) $$\left(\frac{a}{b}\right)^{m}$$ = $$\frac{a^{m}}{b^{m}}$$

viii) a0 = 1 where a ≠ 0