Question

With Step By Step Explanation​

Answer 1

Answer:

Mark as brainliest answer.

Step-by-step explanation:

(i) [(15/12)³]^4

  [ 3375/1728]^4

244140625/16777216

  14.55

(ii)  (3^4)^-2

      1 / (3^4)^2

      1 / 81^2

      1 / 6561

Answer 2

Answer:

i.) 244.14

ii.) 9

Step-by-step explanation:

i.)

$(( \frac{15}{12} ) {}^{3} ) {}^{4}$

$(( \frac{3 \times 5}{4 \times 3}) {}^{3}) {}^{4}$

$((\frac{5}{4}) {}^{3}) {}^{4}$

$(\frac{5}{4} ){}^{12}$

$(\frac{5}{2 {}^{2} }) {}^{12}$

$(\frac{5}{2}) {}^{6}$

$\frac{5 \times 5 \times 5 \times 5 \times 5 \times 5}{2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\frac{15625}{64}$

$244.14 \: is \: the \: final \: answer.$

ii.)

$(3 {}^{4}) {}^{ - 2}$

$(81) {}^{ - 2}$

$(81) {}^{ \frac{1}{2} }$

$(9 {}^{2}) {}^{ \frac{1}{2} }$

$9 {}^{1}$

$9 \: will \: be \: the \: final \: answer.$