How do you express #t^-6# as a positive exponent?

1 Answer
Jan 19, 2018

Answer:

#t^(-6)=1/t^6# See explanation.

Explanation:

If an expression has a negative exponent then to transform it to positive exponent you have to calculate the reciprocal of the expression:

#a^(-b)=1/a^b#

Now why is this true?
Well, let's use algebra.

Remember that #a^b*a^c=a^(b+c)#

Now, #a^b*a^(-b)=a^(b-b)=>a^0=1#
So we have #a^b*a^-b=1# We manipulate this to:
#a^(-b)=1/(a^b)#