Question

evalute the follwing 1 nd 2 with laws of exponent plz anyone​

Answer 1

Answer:

$1.\\ \\ \:\:\implies( {( \frac{1}{3} })^{ - 1} - {( \frac{1}{4}) }^{ - 1} ) ^ - 1 \\ \\ \: \: \implies \: \: ( {3 - 4})^{ - 1} \\ \\ \: \: \implies \: \: ( { - 1})^{ - 1} \\ \\ \: \: \implies \: \: - 1$

$2. \\ \\ \implies \:\:( { \frac{5}{8} })^{ - 7} \times ( { \frac{8}{5} })^{ - 4} \\ \\ \implies \: \: ( { \frac{8}{5} })^{7} \times ( { \frac{5}{8} })^{4} \\ \\ \: \: \implies \: \: ( \frac{8}{5} ) ^3\\\\FORMULA:-\\ \:\:\:\: (a)^-1\:=\:\frac{1}{a}$

Answer 2

Answer:

(i) (-1)

(ii)$\frac{512}{125}$

Step-by-step explanation:

(i) {[(3)⁻¹]⁻¹ - [(4)⁻¹]⁻¹}⁻¹

 =(3-4)⁻¹

 =(-1)⁻¹=1/(-1)

 =(-1)

(ii) $(\frac{8}{5})^{7}$×$(\frac{8}5})^{-4}$

    when bases are same, powers are added in multiplication.

    $(\frac{8}{5})^{7-4}$

    $(\frac{8}{5})^3$

     $\frac{512}{125}$