Question 143(i)

Use the propeties of exponents to verify that each statement is true.
$\frac{1}{4} (2^{n}) = 2^{n - 2}$

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Solution

True:
$\frac{1}{4} (2^{n}) = 2^{n - 2} R H S = 2^{n - 2} = 2^{n} \div 2^{2} [∵ a^{m} \div a^{n} = (a)^{m - n}] = \frac{2^{n}}{4} = L H S$

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Question 143(i)

Use the propeties of exponents to verify that each statement is true.
$\frac{1}{4} (2^{n}) = 2^{n - 2}$

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