Find the value of 64^{-frac{1}{3}}left(64^{fr | vedclass

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Question

(A) Given expression: $64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$We know that $64 = 4^3$.Substituting this into the expression:$

Vedclass · Accepted Answer

$-3$

Vedclass · Answer

(A) Given expression: $64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}ight)$We know that $64 = 4^3$.Substituting this into the expression:$= (4^3)^{-\frac{1}{3}} \left((4^3)^{\frac{1}{3}} - (4^3)^{\frac{2}{3}}ight)$$= 4^{3 	imes -\frac{1}{3}} \left(4^{3 	imes \frac{1}{3}} - 4^{3 	imes \frac{2}{3}}ight)$$= 4^{-1} \left(4^1 - 4^2ight)$$= \frac{1}{4} \left(4 - 16ight)$$= \frac{1}{4} \left(-12ight)$$= -3$

Find the value of $64^{-\frac{1}{3}}\left(64^{\frac{1}{3}}-64^{\frac{2}{3}}\right)$.

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