3^3 / 3^6
3^3 / 3^6 is equal to 1/3^3 * 1/3^3 * 1/3^3 * 3^3.
Using the rules of exponents, we can simplify this:
1/3^3 * 1/3^3 * 1/3^3 * 3^3 = 1/3^(3+3+3) * 3^3
= 1/3^9 * 27
= 1/19683
Therefore, 3^3 / 3^6 = 1/19683.
3^3 / 3^6
1/ 27
1/9
9
-27
The answer is:
1/27
(1.4 x 10 ^1) (8 x 10 ^4)
9.4 x 10^4
9.4 x 10^5
1.12 x 10^5
1.12 x 10^6
When multiplying two numbers written in scientific notation, we need to multiply the decimal parts separately and add the exponents.
(1.4 x 10^1) (8 x 10^4) = (1.4)(8) x 10^(1+4) = 11.2 x 10^5 = 1.12 x 10^6
Therefore, the answer is 1.12 x 10^6.
(1.17 x10 ^-4 ) 5 x 10^-5)
8.5 x 10 ^-9
8.5 x 10^20
6.7 x 10^-9
6.7 x 10^20
To multiply two numbers in scientific notation, we multiply the decimal parts and add the exponents.
(1.17 x 10^-4) (5 x 10^-5) = (1.17 x 5) x 10^(-4-5) = 5.85 x 10^-9
Therefore, the answer is 5.85 x 10^-9, which is not one of the options provided. So the possible options contain a typo.
The closest option we have is 6.7 x 10^-9, but that is not equal to the exact result of the multiplication.
8t ^5 x 8t^5
64t^25
64t^10
16t^10
16t^5
When multiplying two terms with the same base, we add the exponents.
8t^5 x 8t^5 = (8 x 8) t^(5+5) = 64t^10
Therefore, the answer is 64t^10.