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anyanavicka [17]
4 years ago
14

Rewrite the following radical expressions as equivalent exponential expressions. c.1/(3√16 )

Mathematics
1 answer:
OverLord2011 [107]4 years ago
8 0

Answer:

\frac{1}{3\sqrt{16}} = (16)^{\frac{-1}{2}}.3^{-1}

Step-by-step explanation:

We have given the expression in radical form as  \frac{1}{3\sqrt{16}}

We have to convert this radical form in exponential form

We know that  \frac{1}{3\sqrt{16}} can be written as \frac{1}{3\sqrt{16}}=\frac{1}{3}\times \frac{1}{(16)^{\frac{1}{2}}}

Now if we write \frac{1}{3} in exponential form then we can write as 3^{-1} ( property of exponent )

And \frac{1}{(16)^{\frac{1}{2}}}=(16)^{\frac{-1}{2}}

So  \frac{1}{3\sqrt{16}} = (16)^{\frac{-1}{2}}.3^{-1}

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