Question

B^-4=1/81
b=?
@yummydum

Answer 1

\[b^-4=1/81\]

Answer 2

Is it possible for there to be more than one answer?

Answer 3

Nope @ Najia2000

Answer 4

Oh, so do you have answer choices?

Answer 5

No

Answer 6

anything to the negative exponent means it's in the opposite position, so if something with a negative variable is in the numerator, it goes as a positive exponent in the denominator and vice versa

so we have:\[b^{-4}={1\over81}\]meaning:\[{1\over b^4}={1\over81}\]so essentially:\[b^4=81\]now we have to figure out the fourth root of 81... which is 3:\[3\times3\times3\times3=81\]\[3^4=81\]\[81=81\checkmark\]so:\[{1\over3^4}={1\over81}\]

however, do note that since the exponent is even there is a second answer, \(-3\)\[b=\pm3\]

Answer 7

hint:
\[81=3^{4}\]

Answer 8

so b= positive 3

Answer 9

or \[+3\]

Answer 10

@yummydum gave you all the answers

Answer 11

well all the real ones anyways :p