Question

Use the laws of exponents and write the answer with a positive exponent:

Answer 1

$a.( \frac{1}{3} ) {}^{ - 4} \\ = (3) {}^{4} \\ = 81$
$d.( \frac{5}{4} ) {}^{4} \times ( \frac{5}{4} ) {}^{ - 3} \\ = ( \frac{5}{4} ) {}^{4} \times ( \frac{4}{5} ) {}^{3} \\ = \frac{625}{256} \times \frac{64}{125} \\ = \frac{5}{4}$
$g.4 {}^{3 } \div 4 {}^{5} \\ = 4 {}^{3} \times ( \frac{1}{4} ) {}^{5 } \\ = 64 \times \frac{1}{1024} \\ = \frac{1}{16}$
$({( \frac{ - 1}{3} ) {}^{4}} ) {}^{ - 2} \\ = ( \frac{ - 1}{3} ) {}^{4 \times - 2} \\ = ( \frac{ - 1}{3} ) {}^{ - 8} \\ = ( - 3) {}^{8} \\ = 6561$

Answer 2

Answer:

1 -  81  2-   5/4  3-    1/16   4 -   -6561

Step-by-step explanation: