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

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 × aⁿ = a^m+n

→ [latex]\frac{\mathrm{a}^{\mathrm{m}}}{\mathrm{a}^{\mathrm{n}}}[/latex] = a^m-n (m > n)
⇒ [latex]\frac{1}{a^{n-m}}[/latex] (m < n)

→ (ab)^m = a^m . b^m

→ a⁰ = 1

→ a^-n = [latex]\frac{1}{a^{n}}[/latex]

→ aⁿ = [latex]\frac{1}{a^{-n}}[/latex]

→ [latex]\left(\frac{a}{b}\right)^{m}[/latex] = [latex]\frac{a^{m}}{b^{m}}[/latex]

→ [latex]\left(a^{m}\right)^{n}[/latex] = a^mn

→

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