Problem Solving (PS) | If (1/5)^m * (1/4)^18 = 1/(2*(10)^35), then m = ?

Exponent property #1: \((\frac{a}{b})^k=\frac{a^k}{b^k}\)

Exponent property #2: \((b^x)^y = b^{xy}\)

Exponent property #3: \((ab)^x = a^xb^x\)
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Given:\((\frac{1}{5})^m * (\frac{1}{4})^{18} = \frac{1}{2*(10)^{35}}\)

Applying exponent property#1, we get: Given:\( (\frac{1^m}{5^m})(\frac{1^{18}}{4^{18}} ) =\frac{1}{2*(10)^{35}} \)
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