Using the properties of exponents, which expression is equivalent to x^1/6 * x^1/6?
Using the properties of exponents, the expression x^1/6 * x^1/6 is equivalent to x^1/6+1/6, which simplifies to x^1/3.
To simplify the expression x^(1/6) * x^(1/6), we can combine the exponents since the bases (x) are the same. When multiplying two exponents with the same base, we add their exponents.
Therefore, x^(1/6) * x^(1/6) = x^(1/6 + 1/6).
Simplifying the exponent:
1/6 + 1/6 = 2/6
Since 2/6 can be simplified as 1/3, the equivalent expression is:
x^(1/6) * x^(1/6) = x^(1/3)
To find an equivalent expression, we can use the property of exponents which states that when multiplying exponential expressions with the same base, we add the exponents.
The expression x^1/6 * x^1/6 can be rewritten as x^(1/6 + 1/6).
Simplifying the exponents, we have x^(2/6).
Fraction 2/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
Doing so, we get x^(1/3).
Therefore, the expression x^1/6 * x^1/6 is equivalent to x^(1/3).