Math, asked by lakshminatrajan71, 7 months ago

what is exponents . with rules

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Answered by prarthana91
1

Answer:

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Answered by rishuraj7744
1

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".

Law Example

x^1 = x. 6^1 = 6

x^0 = 1 7^0 = 1

x^-1 = 1/x 4^-1 = 1/4

x^mx^n = x^m+n x^2x^3 = x^2+3 = x^5

x^m/x^n = x^m-n. x^6/x^2 = x^6-2 = x^4

(xm)^n = x^mn. (x^2)^3 = x^2×3 = x^6

(xy)^n = x^ny^n. (xy)^3 = x^3^y3

(x/y)^n = x^n/y^n. (x/y)^2 = x^2 / y^2

x^-n = 1/x^n. x^-3 = 1/x^3

And the law about Fractional Exponents:

x^(m/n) = n-th root of (x^m) = (n-th root of x)^m x^(2/3) = 3rd root of (x^2) = (3rd root of x)^2

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