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

In summary, the concept of simplifying radicals with exponents involves reducing the expression to its simplest form using exponent rules and properties of radicals. To simplify an expression with multiple radicals and exponents, you can simplify each individual radical and then apply exponent rules to combine like terms. The first step in simplifying an expression with radicals and exponents is to check for any perfect squares or cubes within the radicand. To evaluate an expression with radicals and exponents, simplify the radicals and exponents first and then substitute the simplified values into the expression. There is a specific order in simplifying radicals with exponents, which is to simplify any radicals first, then apply exponent rules, and finally simplify further if possible.
  • #1
woahitzyou
1
0
8^2/3 (9^1/2) <---- times (multiply)

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

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

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

1. What is the basic concept of simplifying radicals with exponents?

The basic concept of simplifying radicals with exponents is to reduce the expression to its simplest form by applying exponent rules and using the properties of radicals.

2. How do I simplify an expression with multiple radicals and exponents?

To simplify an expression with multiple radicals and exponents, you can first simplify each individual radical by finding perfect squares or cubes within the radicand. Then, you can apply exponent rules to combine like terms and simplify further.

3. What is the first step in simplifying an expression with radicals and exponents?

The first step in simplifying an expression with radicals and exponents is to check if any of the radicals can be simplified by finding perfect squares or cubes within the radicand. If so, you can simplify them before applying any exponent rules.

4. How can I evaluate an expression with radicals and exponents?

To evaluate an expression with radicals and exponents, you can first simplify the radicals and exponents using the rules and properties. Then, you can substitute the simplified values into the expression and solve for the final result.

5. Is there a specific order in simplifying radicals with exponents?

Yes, there is a specific order in simplifying radicals with exponents. It is recommended to first simplify any radicals by finding perfect squares or cubes, then apply exponent rules to combine like terms, and finally simplify the expression further if possible.

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