What is the answer to 3 to the 7 power times 3 to the 3 power?

3^(7) X 3^(3) =

3^(7 + 3) =

3^(10)

The rules for For manipulating indices are .

#1 ; The coefficient MUST always be the same '3' in the above case.

#2 ; For Multiplication , you ADD the indices.

#3 ; For Division you subtract the indices.

#4 ; For 'nesting' you multiply the indices.

Using the above data.

Multiplication / Addition already done!!!!

Division/subtraction 3^(10) divide 3^(3) = 3^(10 - 3) = 3^(7)

'Nesting' [ 3^(10) ] ^(3) = 3^(10 x 3) = 3^(30)

These are algebraically expressed as

a^(m) X a^(n) = a^(m+n)

a^(m) / a^(n) = a^(m-n)

[a^(m)]^(n) = a^(mn).

NB Finally, you cannot do a^(m) X b^(n) is not equal to [ab]^(m+n). , because the coefficient 'a' & 'b' are different.