Question

simplify the following.(3/7)^5 *(3/7) ^-6*(3/7) ^2​

Answer 1

Answer:

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]

= 10/3 × 3/5 – ½ × ½ + 7/4 [‘÷’ simplified]

= 2/1 - ¼ + 7/4 [‘×’ simplified]

= (2 × 4)/1 × 4) - (1 × 1)/4 × 1) + (7 × 1)/4 × 1)

= 8/4 - ¼ + 7/4

[Now the denominators are same of all the fractions]

= (8 – 1 + 7)/4 [‘+’ and ‘-‘ simplified]

= 14/4

= 7/2

Step-by-step explanation:

Answer 2

$( \frac { 3 } { 7 } ) ^ { 5 } ( \frac { 3 } { 7 } ) ^ { - 6 } ( \frac { 3 } { 7 } ) ^ { 2 }$

$\left(\frac{3}{7}\right)^{-1}\times \left(\frac{3}{7}\right)^{2}\approx 0.428571429$

$\left(\frac{3}{7}\right)^{1}\approx 0.428571429$

$\frac{3}{7}\approx 0.428571429$