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Question
Simplify the following:
`(5^x xx 7 - 5^x)/(5^(x + 2) - 5^(x + 1)`
Solution
`(5^x xx 7 - 5^x)/(5^(x + 2) - 5^(x + 1)`
= `(5^x (7 - 1))/(5^(x + 1) (5 - 1)`
= `(5^(x - x - 1) xx 6)/(4)`
= `(5^-1 xx 6)/(4)`
= `(6)/(5 xx 4)`
= `(3)/(10)`.
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