Question

Which expression is equivalent to 2^4 ⋅ 2^−7
1/2^11
1/2^3
2^3
2^11

Answer 1

when you multiply same bases you should add their exponents \[\huge\rm x^m \times x^n =x^{m+n}\]

Answer 2

oh s0 2^11?

Answer 3

nope

Answer 4

2nd exponent is negative so
positive - negative = ?

Answer 5

i meant -11

Answer 6

oh minus

Answer 7

so that makes it c right?

Answer 8

no here is an example \[\huge\rm x^m \times x^{-n} = x^{m+(-n)}\]

Answer 9

so it b??? im a litlle confused

Answer 10

explain why do you think its b ? don't guess

Answer 11

because of the negative and there is no other awnser that maes sence so proccess of eliminaion

Answer 12

what exponent did you get at the top ?

Answer 13

-3

Answer 14

yep so you are not allowed to leave negative exponent so flip the fraction

Answer 15

so your answer is correct.

Answer 16

thanks

Answer 17

np