HELLO Hiveans
I will be talking about indices in mathematics today, so many find it difficult but after today, it will be a walkaway topic.
INDICES.
Index are an expression of an equation that has a base and power/index.
It is the opposite of a logarithm.
Mathematically:
LAW OF INDICES
- Multiplication law of indices:
This law state that when two or more equation or expression of the same base are joined by a multiplication(×) sign, You take one base and add the powers.
Mathematically:
3^(6)× 3^(4)
=3^(6-4)
3^2.
- Division law of indices:
This law states that when two equations or expressions are joined by the division sign(÷), u takes one base and subtracts the powers.
Mathematically:
10^4 ÷10^2= 10^(4-2)
=10^2.
- Zero law of indices:
This law state that when an equation or expression is raised to a power of zero(0), The resultant answer is zero(0).
NB:if an alphabet or number is raised to a power of zero, it is equal to zero.
Mathematically:
10^(0)=0
(A)^(0)=0
(3A)^(0) =0.
- Power law of indices:
This law states that when an equation or expression is raised to a number, all raised to a power of a certain number, You take the base and multiply the powers.
Mathematically:
(22)2= (2)^(2×2)
2^(4)
(2a)^(2)
=4A^2.
- Fraction law of indices:
This law states that when an expression or equation is raised to the power of a fraction, u takes the denominator as the root and the numerator as the power.
Mathematically.
Example 1.
Find the expression of the equation below.
(2a)^3 ×(4a)^2
Solution
Example 2.
Find the expression on the equation
34÷93
Solution
Thanks for reading.