%5E3-simplified.jpeg "(1/3)^3 Simplified")
Simplifying (1/3)^3
In mathematics, simplifying an expression means reducing it to its most basic form. In this case, we want to simplify the expression (1/3)^3. To do this, we need to follow the order of operations (PEMDAS) and apply the power rule of exponents.
The Power Rule of Exponents
The power rule of exponents states that for any number a and exponent n, a^n can be calculated as:
a^n = a × a × a × ... (n times)
In our case, we want to calculate (1/3)^3. Using the power rule, we can write this as:
(1/3)^3 = (1/3) × (1/3) × (1/3)
Simplifying the Expression
Now, let's simplify the expression by multiplying the fractions:
(1/3) × (1/3) × (1/3) = (1 × 1 × 1) / (3 × 3 × 3)
=(1) / (27)
=(1/27)
Therefore, the simplified form of (1/3)^3 is 1/27.
Final Answer
So, the simplified answer is:
(1/3)^3 = 1/27
