Answer:
20
Step-by-step explanation:

<u>Given</u>:
Given that the first term of the geometric sequence is 729.
The common ratio is 
We need to determine the seventh term of the sequence.
<u>Seventh term</u>:
The seventh term of the sequence can be determined using the formula,

To find the seventh term, let us substitute n = 7 in the above formula, we get;

Now, substituting
and
, we get;



Thus, the seventh term of the geometric sequence is 1.
2^<span>(3/5) =(2^3) ^(1/5) =8^(1/5)
</span>2^(3/5) =(2 ^(1/5))^3
<span>can be expressed both ways</span>
Answer:
The width is 4 cm
Step-by-step explanation:
12.5 x 4.5 = 56.25
225 ÷ 56.25 = 4
Width = 4 cm
Answer:
Step-by-step explanation:
3^-6 × (3^4 ÷ 3^0)^2 = 3^-6 × (3^4 ÷ 1 )^2 {any number raise to zero = 1}
= 3^-6 × (3^4 )^2
= 3^-6 × (3^8) [ (a^m)^n = a^ m*n ]
= 3^ -6 + 8 = 3^2 = 3 * 3 = 9