The correct option is D 3^ 21 (13^3)^7 ⇒1^7 ( 3^3 )^7 ⇒1(3^3·7) ⇒13^21 ⇒ 3^ 21 ...

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Exponential Representation for Irrational Numbers

Simplify 1/...

Question

Simplify ${(\frac{1}{3^{3}})}^{7}$

3^{- 21}

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3^{21}

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3^{- 10}

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None of the above

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Solution

The correct option is D $3^{- 21}$
${(\frac{1}{3^{3}})}^{7}$
$\Rightarrow \frac{1^{7}}{{(3^{3})}^{7}}$
$\Rightarrow \frac{1}{(3^{3 \cdot 7})}$

$\Rightarrow \frac{1}{3^{21}}$

$\Rightarrow 3^{- 21}$

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Similar questions

Question 3 (ii)
Simplify:

${(\frac{1}{3^{3}})}^{7}$

Simplify $(32)^{\frac{1}{5}} + (- 7)^{0} + (64)^{\frac{1}{2}}$

10 - 2 \frac{1}{3} \times 3 + 3 \frac{3}{4} \div 2 \frac{1}{2}

(\frac{1}{3^{3}})^{7}

\frac{- 3}{5} \times (\frac{- 10}{9}) \times (\frac{21}{- 4}) \times (- 6)

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