How do you write #1/169# as a negative exponent?

2 Answers
Mar 10, 2018

Answer:

As a negative exponent, #1/169# is #13^-2#.

Explanation:

Rewrite #169# as #13*13#, then use these exponent rules:

#x^color(red)m*x^color(blue)n=x^(color(red)m+color(blue)n)#

#x^(color(red)-color(red)m)=1/x^color(red)m#

Now here's the actual problem:

# color(white)=1/169 #

# =1/(13*13) #

# =1/(13^color(red)1*13^color(blue)1) #

# =1/(13^(color(red)1+color(blue)1)) #

# =1/(13^color(purple)2) #

# =13^color(purple)(-2) #

Mar 10, 2018

#13^-2# = #1/13^2# = #1/169#