exam Maths Puzzle Numerical Ability

A 14-yard fishing line is cut into two pieces. Three times the length of the longer piece is four times the length of the shorter piece. Find the length of each piece.

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Please could someone help with the following question:

If log {100√x}over y(4) = a log x + b log y + c, find the values of a, b and c.

I would be very grateful if someo Simplify each expression. Write using positive exponents.

(x^-5/x^2)^-4(x^7/x^-8)^3

please explain the work if you can and thank you