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Exponentiation is a mathematical operation, written as a^{n}, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation is repeated multiplication of the base: that is, a^{n} is the product of multiplying n bases:
And we have,
 a^{0} = 1
 a¹ = a
 a² = a x a
 a³ = a x a x a
 a^{n} = a x a x a …. a x a (a is multiplied n times)
Here case, a^{n} is called the nth power of a, or a raised to the power n.
Some common exponents have their own names:
 Exponent 2 is called the square of a (a^{2}) or a Square
 Exponent 3 is called the cubeof a (a^{3}) or a cubed.
 Exponent −1 of a, or 1 / a, is called the reciprocal of a.
POINTS TO REMEMBER:

0^{n} = 0 for n > 0; 0^{n} is not defined for n ≤ 0

a^{m} = a^{n }if and only if m = n for any a ≠ 0, 1 or 1

For any a ≠ 0, and natural number n, a^{n} = 1/a^{n}

For any a ≠ 0, and integers m, n, a^{m} x a^{n} = a^{m+n}

For any a ≠ 0, and integers m, n, (a^{m})^{ n} = a^{mn}

For any a ≠ 0, b ≠ 0 and integers m, (ab)^{m} = a^{m }x b^{m}
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