Question

Please help me solve this with explainantion

Answer 1

Step-by-step explanation:

(a

m

)

n

=a

mn

Given:

\sqrt[4]{\sqrt[3]{2^2}}

4

3

2

2

=\sqrt[4]{\sqrt[3]{4}}=

4

3

4

=\sqrt[4]{4^{\frac{1}{3}}}=

4

4

3

1

=({4^{\frac{1}{3}}})^{\frac{1}{4}}=(4

3

1

)

4

1

=4^({\frac{1}{3}.\frac{1}{4}})=4

(

3

1

.

4

1

)

=4^{\frac{1}{3.4}}=4

3.4

1

=4^{\frac{1}{12}}=4

12

1

=(2^2)^{\frac{1}{12}}=(2

2

)

12

1

=2^{\frac{2}{12}}=2

12

2

=2^{\frac{1}{6}}=2

6

1

Answer 2

Answer:

2^3÷2

Step-by-step explanation:

we know that root can be written as the power of the no. but reciprocal

therefore the no. can be written as (((2²)^1÷3)^1÷4)

and on simplifying

we get, 2^3÷2