Question 1

Find the value of $$[7(64^\frac{1}{3}+27^\frac{1}{3})^3]^\frac{1}{4}$$

Solution

Expression : $$[7(64^\frac{1}{3}+27^\frac{1}{3})^3]^\frac{1}{4}$$

= $$[7(4^{3\times\frac{1}{3}}+3^{3\times\frac{1}{3}})^3]^\frac{1}{4}$$

= $$[7(4+3)^3]^\frac{1}{4}$$

= $$[7^{3+1}]^\frac{1}{4}$$

= $$7^{4\times\frac{1}{4}}=7$$

=> Ans - (A)

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