Question

simplify the following questions
(625)¼ × (117649)⅙​

Answer 1

Answer:

First find the prime factorisation of

625

:

625

is not divisible by

2

since it ends with an odd digit.

625

is not divisible by

3

since the sum of its digits is not divisible by

3

. That is:

6

+

2

+

5

=

13

which is not divisible by

3

.

625

is divisible by

5

since it ends with a

5

and we find:

625

=

5

⋅

125

=

5

⋅

5

⋅

25

=

5

⋅

5

⋅

5

⋅

5

=

5

4

Hence:

625

1

4

=

(

5

4

)

1

4

=

5

4

⋅

1

4

=

5

1

=

5