3 raise to the power 3 into 243 raise to the power minus 2 upon 3 x 9 raise to the power minus 1 upon 3
Answers
Given: 3 raise to the power 3 into 243 raise to the power minus 2 upon 3 x 9 raise to the power minus 1 upon 3
To find: Solve the above expression.
Solution:
- So the given term is :
3 raise to the power 3 into 243 raise to the power minus 2 upon 3 x 9 raise to the power minus 1 upon 3.
- In numerical form, it can be written as:
3^3 x 243^-2/3 x 9^(-1/3)
- Now solving this, we get:
= 3^3 x ((3^2)^-1/3) x 243^-2/3
= 3^3 x 3^-2/3 x (3^5)^-2/3
= 3^(3-2/3) x 3^-10/3
= 3^(7/3) x 3^-10/3
= 3^(7/3-10/3)
= 3^(-3/3)
= 3^-1
= 1/3
Answer:
So the value of 3^3 x 243^-2/3 x 9^(-1/3) is 1/3.
Answer:
So the value of 3^3 x 243^-2/3 x 9^(-1/3) is 1/3.
Step-by-step explanation:
So the given term is :
3 raise to the power 3 into 243 raise to the power minus 2 upon 3 x 9 raise to the power minus 1 upon 3.
In numerical form, it can be written as:
3^3 x 243^-2/3 x 9^(-1/3)
Now solving this, we get:
= 3^3 x ((3^2)^-1/3) x 243^-2/3
= 3^3 x 3^-2/3 x (3^5)^-2/3
= 3^(3-2/3) x 3^-10/3
= 3^(7/3) x 3^-10/3
= 3^(7/3-10/3)
= 3^(-3/3)
= 3^-1
= 1/3