Evaluate the following- 3 -16 - 1-2- 4 -27 - 1-3

Let a=3 ×16^ 1/2× 4 ×27^ 1/3 #160; #160; #160; #160; #160; =3×1√(16)× 4× 1 √( 27 ) #160; #160; #160; #160; #160; #1 ...

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Byju's Answer

Standard VIII

Mathematics

Powers with Negative Exponents

Evaluate the ...

Question

Evaluate the following:
$3 \times 16^{- \frac{1}{2}} \times 4 \times 27^{- \frac{1}{3}}$

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Solution

Let $a = 3 \times 16^{- \frac{1}{2}} \times 4 \times 27^{- \frac{1}{3}}$

$= 3 \times \frac{1}{\sqrt{16}} \times 4 \times \frac{1}{\sqrt[3]{27}}$

$= 3 \times \frac{1}{4} \times 4 \times \frac{1}{3}$

$a = 1$

$∴ 3 \times 16^{- \frac{1}{2}} \times 4 \times 27^{- \frac{1}{3}} = 1$

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Evaluate the following:3×16−12×4×27−13

Let a=3×16−12×4×27−13 =3×1√16×4×13√27 =3×14×4×13 a=1∴3×16−12×4×27−13=1

Evaluate the following:
$3 \times 16^{- \frac{1}{2}} \times 4 \times 27^{- \frac{1}{3}}$

Let $a = 3 \times 16^{- \frac{1}{2}} \times 4 \times 27^{- \frac{1}{3}}$

$= 3 \times \frac{1}{\sqrt{16}} \times 4 \times \frac{1}{\sqrt[3]{27}}$

$= 3 \times \frac{1}{4} \times 4 \times \frac{1}{3}$

$a = 1$

$∴ 3 \times 16^{- \frac{1}{2}} \times 4 \times 27^{- \frac{1}{3}} = 1$