Question

Find the product. Write your answer in exponential form.

7^-1 x 7^-7

Answer 1

when you multiply numbers with exponents you ADD the exponents

For example 3^3 * 3^-1 = 3 ^(3+ (-1) = 3^2

Answer 2

so in your case we have 7^-1 * 7^-7 = 7^(-1 + (-7))

Answer 3

ok

Answer 4

so what would it be

Answer 5

well what is -1 + (-7) ?

Answer 6

note that +( - = -

Answer 7

WELCOME TO OPENSTUDY @lulubj

Answer 8

yes welcome @lulubj

we like to guide to the answer of your problem rather than just give you the answer. That way you learn something.

Answer 9

-1 + (-7) = -1 - 7 = ?

Answer 10

perhaps a number line will help you with this

Answer 11

what would be the value of x?

Answer 12

Going down the line 1 unit corresponds to the -1.

Answer 13

what is the next negative whole number below -7 ?

Answer 14

-8?

Answer 15

YES

-7-1 = -8


so 7^-1 * 7*-7 = 7 ^-8


note that the 'base' ( that is number 7) stays the same.

Answer 16

Thanks a lot

Answer 17

another example for you is

4^-4 * 4^-2 = 4^(-4 + (-2) = 4^(-4-2) = 4^-6

Answer 18

yw