4 years ago

Use the laws of exponents to express 9-3/2 · 82/3 as a simple fraction. Show the steps in the simplification

Mathematics

1 answer:

Amanda [17]4 years ago

6 0

Answer:

4/27

Step-by-step explanation:

The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are

a^-x = (1/a)^x

and

a^(x/b) = b√a^x

Hence

9-3/2 · 82/3

= (1/9)^3/2 . 8^2/3

= √(1/9)³ . ∛8²

= (1/3)³ . 2²

= 1/27 . 4

= 4/27

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