Asked by Pete
3) Find the value of m for which
(i) (5^m×5^3×5^(-2))/5^(-5) =5^12
(ii) (2/9)^3×(2/9)^(-6)=(2/9)^(2m-1)
(i) (5^m×5^3×5^(-2))/5^(-5) =5^12
(ii) (2/9)^3×(2/9)^(-6)=(2/9)^(2m-1)
Answers
Answered by
Reiny
(5^m×5^3×5^(-2))/5^(-5) =5^12
All I see is powers with base 5, so ....
5^(m+3-2) / 5^(-5) = 5^12
5^(m+6) = 5^12
m+6 = 12
m = 6
Do the 2nd the same way, I see powers with the same base of (2/9)
All I see is powers with base 5, so ....
5^(m+3-2) / 5^(-5) = 5^12
5^(m+6) = 5^12
m+6 = 12
m = 6
Do the 2nd the same way, I see powers with the same base of (2/9)
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