USE THE GIVEN BASE TO WRITE THE NUMBER AS AN EXPONENTIAL EXPRESSION 9/25 (base 3/5)
9/25=

Question

USE THE GIVEN BASE TO WRITE THE NUMBER AS AN EXPONENTIAL EXPRESSION 9/25 (base 3/5)
9/25=

rulnick · Answer

The goal is to figure out what n would be for (3/5)^n to equal 9/25.
So n=0 wouldn't work because (3/5)^0 = 1.
And n=1 wouldn't either because (3/5)^1 = 3/5.
So what power n would make (3/5)^n = 9/25?

rulnick · Answer

Hint: 3^2 = 9, and 5^2 = 25.

anonymous · Answer

@rulnick im lost

rulnick · Answer

How about (3/5)^2 (in other words, 3/5 raised to the second power)?  The numerator would be 3^2 and the denominator would be 5^2.  What would that make the resulting fraction?

anonymous · Answer

27/125 IS THT RIGHT

rulnick · Answer

(3/5)^3 would equal 27/125.  But (3/5)^2 = 9/25.  So the answer to your problem would be
9/25 = (3/5)^2.