Question

simplify 9^1/2 × 8^1/3​

Answer 1

Answer:

6

Step-by-step explanation:

• 9 = 3 × 3 = 3²
• 8 = 2 × 2 × 2 = 2³

FORMULA

$> > ( { {a}^{m} )}^{n} = {a}^{m \times n} < < \\ = {9}^{ \frac{1}{2} } \times {8}^{ \frac{1}{3} } \\ > > 9 = {3}^{2} < < \\ > > 8 = {2}^{3} < < \\ = { ({3}^{2} )}^{ \frac{1}{2} } \times ( { {2}^{3}) }^{ \frac{1}{3} } \\ = ( {3}^{2 \times \frac{1}{2} } ) \times ( {2}^{3 \times \frac{1}{3} } )\\ = 3 \times 2 \\ = 6$