Question

simplify : (10/3)^-7÷(5/3)^-4​

Answer 1

Answer:

3 1/3 ÷ 5/3 - 1/10 of 2 ½ + 7/4. Solution: 3 1/3 ÷ 5/3 - 1/ 10 of 2 ½ + 7/4 = (3 × 3 + 1)/3 ÷ 5/3 – 1/10 of (2 × 2 + 1 )/2 + 7/4 = 10/3 ÷ 5/3 - 1/10 of 5/2 + 7/4. ['of' simplified].

Answer 2

Answer:

$\frac{27}{16000}$                                    (Decimal: 0.001687)

Step-by-step explanation:

$(\frac{10}{3} )^-^7$÷$(\frac{5}{3} )^-^4$

$(\frac{10}{3} )^-^7=(\frac{10^-^7}{3^-^7} )=$ $\frac{2187}{10000000}$

$(\frac{5}{3} )^-^4=(\frac{5^-^4}{3^-^4} )=$ $\frac{81}{625}$

Dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

$\frac{\frac{2187}{10000000}}{\frac{81}{625}}=$    $\frac{2187}{10000000}$ × $\frac{625}{81}$

=  $\frac{27}{16000}$             (Decimal: 0.001687)