Question

simplify.
$11^{\frac{1}{2}} \cdot 11^{\frac{1}{2}}$

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $a^m \cdot a^n = a^{m+n}$.
$11^{\frac{1}{2}} \cdot 11^{\frac{1}{2}} = 11^{\frac{1}{2}+\frac{1}{2}}$

Step2: Sum the exponents

Calculate the sum of the fractional exponents.
$11^{\frac{1}{2}+\frac{1}{2}} = 11^{1}$

Step3: Simplify the exponent term

Any number to the power of 1 is itself.
$11^{1} = 11$

Answer:

11