Question

find it plz it's urgent ...​

Answer 1

Answer:

$(27 \times 64) {}^{ \frac{1}{3} } \\ (3 {}^{3} \times {4}^{3} ) {}^{ \frac{1}{3} } \\ (3 \times 4) {}^{ 3 \times \frac{1}{3} } = 3 \times 4 = 12$

Answer 2

QUESTION :-

Find the Value of :- $(27 * 64)^\frac{1}{3}$

SOLUTION :-

Using the Law $\bold {a^\frac{1}{n} = (a^n)^\frac{1}{n} = a}$, we get -

$\Rightarrow \bold {(27 * 64)^\frac{1}{3}} \\\\\Rightarrow [(3^3) * (4^3)]^\frac{1}{3}\\\\\Rightarrow [3 * 4] = \bold {12}$

VERIFICATION :-

$(27 * 64)^\frac{1}{3} = (1728)^\frac{1}{3} \Rightarrow \sqrt[3]{1728} = 12$

CONCLUSION :-

The Value of $\bold {(27 * 64)^\frac{1}{3} }$ is 12