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7 Laws Of Indices
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Laws of indices Algebra uses symbols or letters to represent quantities for example I PRT I is used to stand for interest P for principle R for rate and T for time A quantity made up of symbols together with operations is called an algebraic expression We use the laws of indices to simplify expressions involving indices
Rule 1 If a constant or variable has index as 0 then the result will be equal to one regardless of any base value a0 1 Example 5 0 1 12 0 1 y 0 1 Rule 2 If the index is a negative value then it can be shown as the reciprocal of the positive index raised to the same variable a p 1 ap Example 5 1 8 3 1 8 3
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The 8 Laws Of Indices In Maths Explained Servantboy
The 8 Laws Of Indices In Maths Explained Servantboy
Solutions y3 y4 y y y y y y y y y y y y y y y7 But we can use Law 1 y3 y4 y3 4 y7 4x3 3x2 4 x x x 3 x x 4 x x x 3 x x 12x5 or 4x3 3x2 4 3 x3 x2 12x3 2 12x5 53 56 53 6 59 x8 x7 x8 7 x15 y
Laws of indices Indices are used to show numbers that have been multiplied by themselves They can also be used to represent roots such as the square root and some fractions
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Learn The Laws Of Indices
Learn The Laws Of Indices
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Six rules of the Law of Indices Any number except 0 whose index is 0 is always equal to 1 regardless of the value of the base To multiply expressions with the same base copy the base and add the indices To divide expressions with the same base copy the base and subtract the indices
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https://byjus.com/maths/index
Rule 1 If a constant or variable has index as 0 then the result will be equal to one regardless of any base value a0 1 Example 5 0 1 12 0 1 y 0 1 Rule 2 If the index is a negative value then it can be shown as the reciprocal of the positive index raised to the same variable a p 1 ap Example 5 1 8 3 1 8 3
https://www.vedantu.com/maths/laws-of-indices
The properties of indices can also be called the law of indices formula and it gives us the fundamental rules that are used in the index problems The properties of indices are Multiplication Property a n a m a n m Division Property frac a n a m a n m Power of a Power left a n right m
Rule 1 If a constant or variable has index as 0 then the result will be equal to one regardless of any base value a0 1 Example 5 0 1 12 0 1 y 0 1 Rule 2 If the index is a negative value then it can be shown as the reciprocal of the positive index raised to the same variable a p 1 ap Example 5 1 8 3 1 8 3
The properties of indices can also be called the law of indices formula and it gives us the fundamental rules that are used in the index problems The properties of indices are Multiplication Property a n a m a n m Division Property frac a n a m a n m Power of a Power left a n right m
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