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

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold