MCQ
The value of $64^{-\frac{1}{3}}\Big(64^{\frac{1}{3}}-64^{\frac{2}{3}}\Big)$ is:
- A1
- B13
- C-3
- D-2
✓
Answer
- -3
Solution:
Find the value of $64^{\frac {1}{3}}\Big(64^{\frac{1}{3}}-64^{\frac{2}{3}}\Big)$
So,
$\Rightarrow64^{\frac {1}{3}}\Big(64^{\frac{1}{3}}-64^{\frac{2}{3}}\Big)=2^{6\times\frac{1}{3}}\Big(2^{6\times\frac{1}{3}}-2^{6\times\frac{2}{3}}\Big)$
$=2^{-2}(2^2-2^4)$
$=2^2(4-16)$
$\Rightarrow64^{\frac {1}{3}}\Big(64^{\frac{1}{3}}-64^{\frac{2}{3}}\Big)=\frac{1}{2^2}\times-12$
$=\frac{1}{4}\times-12$
$=-3$
Hence the correct statement is c.
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