Question

Please answer this question... please...​

Answer 1

Answer:

Simplify :

$11 {}^{ \frac{2}{3} } \times 11 {}^{ \frac{1}{3} } \\ apply \: formula \\ x {}^{a} \times x {}^{b} = x {}^{a + b} \\ = 11 {}^{ \frac{2}{3} + \frac{1}{3} } \\ = 11 {}^{ \frac{3}{3} } = 11 \: \: Answer$

Find:

$1) \: 15 {}^{2} \times 5 {}^{ - 5} \\ apply \: \: the \: above \: metioned \: formula \\ 15 {}^{2 - 5} = 15 {}^{ - 3} \\ now \: apply \: formula \: x {}^{ - a} = \frac{1}{x {}^{a} } \\ = \frac{1}{3375} \: ans \\ 2) \: (17 {}^{2} ) {}^{ - 1} \\ apply \: formula \: (x {}^{a} ) {}^{b} = x {}^{ab} \\ 17 {}^{ - 2} = \frac{1}{289} \: \: Answer$

Evaluate :

$1) \: \: (2 {}^{2} ) {}^{3} \\ (2 {}^{6} ) \\ = 64 \: \: answer \\ 2) \: \: ( \frac{1}{3} {}^{5} ) {}^{4} \\ = ( \frac{1 {}^{4} }{3 {}^{20} } ) = 3 {}^{ - 20} \: \: Answer$