Question

Which of the following would be true regarding the following exponential expression?

3m 7/9

A - The exponent of 3 is 7/9.

B - If written in radical form, 9 would be the exponent
inside the radicand.

C - The rational exponent is 9/7.
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question 4 of 5

D - If written in radical form, 7 would be the index.

E - If written in radical form, 9 would be the index.

Answer 1

A - The exponent of 3 is 7/9.

Explanation:

The expression 3^(7/9) can be read as "3 to the power of 7/9".
This means that the number 3 is being multiplied by itself 7/9 times.

For example
3^(2/3) can be written as cube root of 3, cube root of 3 is equal to 3^(1/3) .

When the exponent of an expression is a fraction, it can be written in radical form, with the denominator of the fraction as the index of the radical. However, it's not true in this case as the index is not 9 but 7.

So, the correct answer is A - The exponent of 3 is 7/9.