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

Options :

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:

StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline EndFraction.

3^-6 ÷ 3^-4

According to the division law of indices;

x^m / x^n

Since the base are equal or the same ; x = x

The solution is expressed as :

x^(m-n)

Hence, for the scenario above :

3^-6 ÷ 3^-4

3^(6-3)

3^3

=3 * 3 * 3

= 27

Keep the base the same and then subtract the exponents.

Step-by-step explanation:

EDG 2021

both equations and proportions are better.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3