Question

1. Write the following using the exponential notation:

(5*5*5*5*5*5*5*5*5*5)*(7*7*7*7*7*7*7*7*7*7*7*7*7*7)

Answer 1

5^10. *7^14. Is the answer

Answer 2

5^10 7^14 or 6623272195791015936 depending on whats being asked

Explanation:

(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(25)(5)(5)(5)(5)(5)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(125)(5)(5)(5)(5)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(625)(5)(5)(5)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(3125)(5)(5)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(15625)(5)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(78125)(5)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(390625)(5)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=(1953125)(5)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(49)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(343)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(2401)(7)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(16807)(7)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(117649)(7)(7)(7)(7)(7)(7)(7)(7)

=9765625(823543)(7)(7)(7)(7)(7)(7)(7)

=9765625(5764801)(7)(7)(7)(7)(7)(7)

=9765625(40353607)(7)(7)(7)(7)(7)

=9765625(282475249)(7)(7)(7)(7)

(etc etc etc, you get the point)

alternatively,

5^10 7^14 =6623272195791015936