Explanation:
so, it is
3³ × (3⁴)^(0.5) ?
remember, when multiplying exponents of the same base, we add the exponents : e.g.
a⁵ × a³ = a⁸
when we have exponents in exponents we multiply the exponents : e.g.
(a³)⁴ = a¹²
now, also remember the priorities of mathematical operations :
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
now, let's look at our expression again :
3³ × (3⁴)^(0.5)
since we only want to simplify and not to calculate, we leave (3⁴) alone, because the only thing we could do would be to actually calculate 3⁴.
so,
(3⁴)^(0.5) = 3^(4×0.5) = 3²
and then,
3³ × 3² = 3^(3+2) = 3⁵
so, the simplified expression is 3⁵.
which is 243 ...