$a) \ 6^2 \times 6^3 = 6^{2+3} = 6^5 = 7776\\\\b)\ \frac{(-3)^5 }{(-3)^2} = (-3)^{5-2} = (-3)^3 = -27\\\\c)\ [(-2)^3]^4 = (-2)^{3\times 4} = (-2)^{12} = 4096 \\\\d)\ (\frac{1}{999})^0 = 1, anything \ raise \ to \ zero = 1\\\\e) \ (\frac{4}{3})^{-2} = 4^{-2} \times 3^2 = \frac{9}{16}\\\\f) \ \frac{2^5 \times 2^9}{2^{16}} = 2^{5+9-16} = 2^{-2} = \frac{1}{4}$

4 0

3 years ago

The exact circumference of a circle is 18π inches. What is the approximate area of the circle? Use 3.14 for π. Round to the near

Aleks [24]

Answer:

254.34

Step-by-step explanation:

Given the circumfrence we can find the diameter b dividing by pi which will get us 18. We can then divide by 2 to get 9 which is our radius. To get the area we will square our radius :81 and multiply it by pi to get 254.34.

6 0

2 years ago

The length is of a rectangular floor is 24ft the length is 4ft less than 3x the width of the floor

mars1129 [50]

Step-by-step explanation:

l=24ft and

l=3x-4ft,x=width

i.e.24=3x-4

i.e x=28/3ft..

7 0

3 years ago