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Answer :
Final answer:
The expression 9√(x⁷) can be expressed in exponential form as 9x, because the seventh root of x to the seventh power simplifies to x itself, and when multiplied by 9, it results in 9x.
Therefore, the correct option is c) 9x⁷.
Explanation:
The question asks which of the following represents 9√(x⁷) in exponential form. Using the properties of exponents, we can express a square root as a fractional exponent. For instance, taking the square root of a number is the same as raising that number to the power of 1/2. In the case of a seventh root, this is equivalent to raising the number to the power of 1/7.
Thus, the seventh root of x to the seventh power (9√(x⁷)) can be expressed as 9x raised to the power of 7/7. Since 7/7 simplifies to 1, this means our expression can be written as 9x1, or simply 9x, because any number raised to the power of 1 is itself.
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