Question

Simplify 64 to the power of -2/3

Answer 1

the exponent has three parts, a minus sign, a numerator of 2 and a denominator of 3
the 3 in the denominator means take the cubed root
the 2 in the numerator means square it
the minus sign means take the reciprocal

Answer 2

we can do them one at a time, it is not hard
what is the cubed root of 64?

Answer 3

do you know what the cubed root of 64 is?

Answer 4

4

Answer 5

k good

Answer 6

that takes care of the 3 in the denominator
then what is \(4^2\) ?

Answer 7

16

Answer 8

right, now that takes care of the 2 in the numerator
now the minus sign means take the reciprocal
what is the reciprocal of 16?

Answer 9

1/16

Answer 10

you are done

Answer 11

thank you so much!

Answer 12

yw
wasn't that bad huh?