Algebra 2: Simplifying Radicals with Exponents 8^(2/3) * 9^(1/2) - Evaluate

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To evaluate the expression 8^(2/3) * 9^(1/2), it's important to understand how to simplify exponents. The expression 8^(2/3) can be rewritten as the cube root of 8 squared, which equals 4. Similarly, 9^(1/2) is the square root of 9, which equals 3. Multiplying these results gives 4 * 3 = 12. Thus, the final evaluation of the expression is 12.
woahitzyou
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8^2/3 (9^1/2) <---- times (multiply)

evaluate.
THANKSS
 
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So what do you know about multiplying numbers with exponents?
 
woahitzyou said:
8^2/3 (9^1/2) <---- times (multiply)

evaluate.
THANKSS
One thing youshould know is that:
a ^ {\frac{m}{n}} = \sqrt[n] {a ^ m}
For example:
25 ^ {\frac{1}{2}} = \sqrt{25} = 5
5 ^ {\frac{3}{2}} = \sqrt{5 ^ 3} = \sqrt{125}.
Now what's:
8 ^ {\frac{2}{3}} \quad \mbox{and} \quad 9 ^ {\frac{1}{2}}?
Can you go from here? :)
 
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