Answer:
3^3×3
81
3^7/3^3
Explanation:
First you should solve the expression you've got there.
(3^6×3^-4)^2
3^6= 3×3×3×3×3×3 the answer is 729
3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)
=1/(2×2×2×2)= 1/16
3^-4= 1/(3^4)
=1/(3×3×3×3)
= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901
So!
(729×0.01234567901)^2= 9^2
9^2= 81
Now you can look at the following expressions and whichever gives the answer 81 will be correct.
hope it helps!
Answer:
Step-by-step explanation:
Step 1: Calculate the mean.
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of data points.
Answer:
a). Area of the parallelogram = 8 cm²
b). Area of both the triangles = 4 cm²
Step-by-step explanation:
a). Area of the given parallelogram ABCD = Base × Height
= DC × (Vertical distance between
AB and DC)
= 9 × 
= 8 ft²
b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,
Area of both the triangles will be equal.
(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)
Therefore, area of ΔABC = Area of ΔADC = 4 ft²
The first step can be subtracting 2x from both sides leaving the equation with 6x + 3 = -15