Question

GIVE ME AN EASILY COMPREHENDABLE NOTE ON LAWS OF INDICES FOR GRADE 9

Answer 1

Laws of Indices for Grade 9:

1. Multiplication Law: When multiplying two powers with the same base, add the exponents.

Example: a^m * a^n = a^(m+n)

2. Division Law: When dividing two powers with the same base, subtract the exponents.

Example: a^m / a^n = a^(m-n)

3. Power to a Power Law: When a power is raised to another power, multiply the exponents.

Example: (a^m)^n = a^(m*n)

4. Product Law: To multiply two powers with different bases but the same exponent, multiply the bases and raise to the exponent.

Example: (a^m) * (b^m) = (ab)^m

5. Quotient Law: To divide two powers with different bases but the same exponent, divide the bases and raise to the exponent.

Example: (a^m) / (b^m) = (a/b)^m

6. Zero Exponent Law: Any nonzero number raised to the power of zero is equal to 1.

Example: a^0 = 1

7. Negative Exponent Law: A number with a negative exponent can be written as the reciprocal of the number with a positive exponent.

Example: a^(-m) = 1 / a^m

Remember to carefully apply these laws of indices while performing calculations and simplify expressions whenever possible.