Question 143(ii)

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

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Solution

True :

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

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Use the propeties of exponents to verify that each statement is true.
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Use the propeties of exponents to verify that each statement is true.
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Use the propeties of exponents to verify that each statement is true.
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