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question 10
$(0.5)^{a}^{b}=(0.5)^{a}+(0.5)^{b}$
true
false
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Explanation:

Step1: Apply exponent - power rule

By the power - of - a - power rule in exponents, \((a^m)^n=a^{mn}\). So, \([(0.5)^a]^b=(0.5)^{ab}\).

Step2: Analyze the right - hand side

The right - hand side is \((0.5)^a+(0.5)^b\).

Step3: Compare

In general, \((0.5)^{ab}
eq(0.5)^a+(0.5)^b\). For example, if \(a = 1\) and \(b = 1\), \((0.5)^{1\times1}=0.5\), and \((0.5)^1+(0.5)^1=0.5 + 0.5=1\).

Answer:

False