Which expression is equivalent to
81
16
2016 | 4
0 168.12
alb91c4
4a166,8

To do roots of numbers with indices, divide the indice by the root. 4th root of a^{8}a

8

is a^{\frac{8}{4}}a

4

8

4th root of b^{12}b

12

is b^{ \frac{12}{4} }b

4

12

4th root of c^{16}c

16

is b^{ \frac{16}{4}}b

4

16

4th root of 81 is 3 4th root of 16 is 2 \frac{3}{2}

2

3

a^{2}a

2

b^{3}b

3

c^{4}c

4

total of apples - take away four

6-4 = 2

answer is 2 apples

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?