64-1-3 -64-1-3 - 64-2-3- nbsp-1-3-32-3

The correct option is B 364^ 1/3 [64^1/3 64^2/3] =(4^3)^ 1/3 [(4^3)^1/3 (4^3)^2/3] = 4^3 ×( 1/3) (4^3 ×1/3 4^3 ×2/3) = 4^ 1 (4 4^2) = 1/4 (4 16) = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Rationalization of an Irrational Number

64^-1/3 [64^1...

Question

$64^{- \frac{1}{3}} [64^{\frac{1}{3}} - 64^{\frac{2}{3}}] =$ .

\frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{2}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $- 3$
$64^{- \frac{1}{3}} [64^{\frac{1}{3}} - 64^{\frac{2}{3}}] = (4^{3})^{- \frac{1}{3}} [(4^{3})^{\frac{1}{3}} - (4^{3})^{\frac{2}{3}}] = 4^{3 \times (- \frac{1}{3})} (4^{3 \times \frac{1}{3}} - 4^{3 \times \frac{2}{3}})$
= $4^{- 1} (4 - 4^{2})$
= $\frac{1}{4} (4 - 16) = \frac{1}{4} \times (- 12) = - 3$

Suggest Corrections

Similar questions

Q. The value of 64^-1/3 (64^1/3-64^2/3), is

(a) 1

(b)

\frac{1}{3}

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

64^{- \frac{1}{3}} [64^{\frac{1}{3}} - 64^{\frac{2}{3}}] =

Q. Simplify:

64^{- \frac{1}{3}} [64^{\frac{2}{3}} + 64^{\frac{1}{3}}]

Q. Simplify

64^{- \frac{1}{3}} \times [64^{\frac{1}{3}} - 64^{\frac{2}{3}}]

Join BYJU'S Learning Program

64−13[6413−6423]= .

The correct option is B −364−13[6413−6423]=(43)−13[(43)13−(43)23]=43×(−13)(43×13−43×23) = 4−1(4−42) = 14(4−16)=14×(−12)=−3

$64^{- \frac{1}{3}} [64^{\frac{1}{3}} - 64^{\frac{2}{3}}] =$ .