The properties of exponents, which mathematical operation changes 2 1/3 to 2 is 2^(1/3) * 2^(2/3) = 2
What is exponent?
- Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
- 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".
How to solve this problem?
The steps are as follow:
- Applying the properties of exponents:
a^m * a^n = a^(m + n)
2^1 = 2^(1/3) * 2^n
2^1 = 2^(1/3)+n
1 = (1/3) + n
n = 2/3
So the properties of exponents, which mathematical operation changes 2 1/3 to 2 is 2^(1/3) * 2^(2/3) = 2
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