If (23 2 3 )m (34 3 4 )n = 252729 252 729 , find the values of m and n

Question 1 Report

If ( $\frac{2}{3}$ )m ( $\frac{3}{4}$ )n = $\frac{252}{729}$ , find the values of m and n

m = 4, n = 2

m = -4, n = -2

m = -4, n =2

m = 4, n = -2

m = -2, n = 4

Answer Details

( $\frac{2}{3}$ )m ( $\frac{3}{4}$ )n = $\frac{252}{729}$
$\frac{2^{m}}{4^{n}}$ x $\frac{3^{n}}{3^{m}}$ = 283-6
2m - 2n x 3n - m = 28 x 3-6
m - 2n = 8........(i)
-m + n = -6........(ii)
Solving the equations simultaneously
m = 4, n = -2

Read lesson note on Number Bases (WAEC)

Number Bases

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