How do you rewrite #\frac { 1} { 5^ { 4} }#?

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Answer 1 · 2018-06-23T09:52:57

#1/5^4# = #5^-4# = #625^-1#

By exponential law:

#1/a# = #a^-1#

#1/a^2# = #a^-2#

So we have:

#1/5^4# = #5^-4#

OR

#1/5^4# = #1/(5 xx 5 xx 5 xx 5)# = #1/625# = #625^-1#

So, #1/5^4# = #5^-4# = #625^-1#

Hope this helps!