Students can go through AP Board 8th Class Maths Notes Chapter 4 Exponents and Powers to understand and remember the concepts easily.

## AP State Board Syllabus 8th Class Maths Notes Chapter 4 Exponents and Powers

Laws of Exponents:

→ a × a × a …… m times = a^{m}

In a^{m}, a is called base; m is called exponent/ power.

→ a^{m} × a^{n} = a^{m+n}

→ \(\frac{\mathrm{a}^{\mathrm{m}}}{\mathrm{a}^{\mathrm{n}}}\) = a^{m-n} (m > n)

⇒ \(\frac{1}{a^{n-m}}\) (m < n)

→ (ab)^{m} = a^{m} . b^{m}

→ a^{0} = 1

→ a^{-n} = \(\frac{1}{a^{n}}\)

→ a^{n} = \(\frac{1}{a^{-n}}\)

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

→ \(\left(a^{m}\right)^{n}\) = a^{mn}

→

→ \(\sqrt[n]{a}\) = \((\mathrm{a})^{1 / \mathrm{n}}\)