Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline EndFraction.

Divide the bases and then add the exponents.

Keep the base the same and then add the exponents.

Multiply the bases and then subtract the exponents.

Keep the base the same and then subtract the exponents.

Keep the base the same and then subtract the exponents.

Step-by-step explanation:

According to one of the law of indices, for given values a, m and n;

a^m/a^n = a^ (m-n)

The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.

Now given the expression

3^-6/3^-4

As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:

3^-6/3^-4 = 3^ (-6 - (-4))

= 3^ (-6+4)

= 3^-2

= 1/3^2

= 1/9

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