Answer :

Final answer:

The expression 27x⁹ represents the product of 27 and x raised to the power of 9. It cannot be simplified further.


Explanation:

The expression 27x⁹ represents the product of 27 and x raised to the power of 9.

To simplify the expression, we can use the multiplication property of exponents. Multiplying 27 by x⁹ gives us 27x⁹.

So, 27x⁹ is its simplest form and cannot be further simplified.


Learn more about Simplifying algebraic expressions here:

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Rewritten by : Barada

Final answer:

The expression 27x⁹ simplifies to 3⁹ after recognizing that 27 is 3³. Applying exponent rules, we add the exponents of the like bases, leading to 3⁹, not matched by the provided options.

Explanation:

To solve the expression 27x⁹, it is important to recognize that 27 is actually a power of 3. Since 27 is equal to 3³ (3 × 3 × 3), we can rewrite the given expression as (3³)x⁹. When dealing with exponents, we can apply the rule that states when two exponential terms with the same base are multiplied, their exponents are added.

Thus, applying this exponent rule, the expression (3³)(x⁹) can be rewritten as:

3³x⁹ = 3⁹ (which translates to (3 × 3 × 3) × (3 × 3 × 3) × (3 × 3 × 3), or nine threes multiplied together).

However, none of the provided options (3x¶, 3x³, 9x³, or 9x¶) match the correct form of the expression, 3⁹. Therefore, we must assume there is an error in the question or provided options, as none of them represent the accurate result of the expression 27x⁹.