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(01.02 HC) Is the expression x³*x³*x³ equivalent to x³*3*3 ? Why or why not? Explain your reasoning.

User Goelakash
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Final answer:

In this expression, x³ * x³ * x³ is not equivalent to x³ * 3 * 3. When we have the same base number raised to different exponents and those expressions are multiplied, we add the exponents together.

Step-by-step explanation:

In this expression, x³ * x³ * x³ is not equivalent to x³ * 3 * 3.

When we have the same base number raised to different exponents and those expressions are multiplied, we add the exponents together. So, x³ * x³ * x³ can be simplified as x^(3+3+3) = x^9.

On the other hand, x³ * 3 * 3 can be simplified as 3^(1+1) = 3^2.

Therefore, x³ * x³ * x³ is equivalent to x^9 and not to x³ * 3 * 3.

User XmlParser
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