Simplify x^ (1/2)*x^ (1/3) x1 2 ⋅ x1 3 x 1 2 ⋅ x 1 3. Use the power rule aman = am+n a m a n = a m + n to combine exponents. x1 2+1 3 x 1 2 + 1 3. To write 1 2 1 2 as a fraction with a common denominator, multiply by 3 3 3 3. x1 2⋅3 3+1 3 x 1 2 ⋅ 3 3 + 1 3. Oct 27, 2021 · First, raise the denominator (27) to the power of 1: 3^-(x-2) = 1/27^1 Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator: 3^-(x-2) = 27^-1 Rearrange the term so that both equations have the same base: 3^-(x-2) = 3^-3 Nrsad8K.