Question

❤ h€y gu¥s ❤


✌h£re is ¥our Que&tion$✌


⭐write the formula of law of indices⭐




☺i need best answers☺

Answer 1

$<b>Heya mate. (^_-). Answer below.$
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[] What are indices ?

=>>> Indices or exponents are numbers, usually rational numbers, which are used to show the powers or roots of any number. A number to the power of another number means how much times the number is multiplied to itself, an the root of any number is another number whose power is the original number. Power is denoted by ^ and root is denoted by √

For example -

•2^3 = 2 × 2 × 2 = 8

• √16 = √4² = 4.


[] There are certain rules which are used to calculate these powers and roots, and are called laws of indices (or exponents). Following are some of them -


Let, 'a' and 'b' > 0, and 'm' and 'n' be rational numbers. Then we have,


→ a^m × a^n = a^m + n

Example - 2^2 × 2^3 = 2^2 + 3 = 2^5 = 32.


→ a^m ÷ a^n = a^m - n

Example - 3^4 ÷ 3^2 = 3^4 - 2 = 3^2 = 9


→ (a^m)^n = a^m×n

Example - (5^2)^3 = 5^2×3 = 5^6 = 15625


→ a^1 = a

Example - 50^1 = 50


→ a^0 = 1

Example - 99^0 = 1


→ a^m × b^m = (ab)^m

Example - 2^2 × 3^2 = (2×3)^2 = 6^2 × 36


→ (ab)^m = a^m × b^m

Example - (3×4)^2 = 3^2 × 4^2 = 9 × 16 = 144


→ a^-m = 1/a^m

Example - 7^-2 = 1/7^2 = 1/49


→ 1/a^-m = a^m

Example - 1/12^-2 = 12^2 = 144


→ n√a^m = a^m/n

Example - ³√5^6 = 5^6/3 = 5^2 = 25


→ If a^m = a^n, then m = n

Example - If 2^x = 2^3, then x = 3.


→ If a^m = b^m, then a = b

Example - If 5^3 = x^3, then x = 5.


→ There might be more, but I know these many only.
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$<marquee>Thank you and Happy Diwali. (^_-). </marquee>$

Answer 2

⭐⭐one number multiply by 2 times of number is equal to law of indices hope it's help you nd u can search on Google ⭐⭐