Fill in the blanks to make the statement true.(6/13)10 ÷ [(6/13)5]2

1.	Fill in the blanks to make the statement true.(6/13)10 ÷ [(6/13)5]2 = (6/13)
Answer» (6/13)¹⁰ ÷ [(6/13)⁵]² = (6/13)⁰ In the given question first consider [(6/13)⁵]² For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, (a^m)ⁿ = a^mn [(6/13)⁵]² = (6/13)^{(5 × 2)} = (6/13)¹⁰ Then, (6/13)¹⁰ ÷ (6/13)¹⁰ For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, a^m ÷ aⁿ = a^m–n, m>n (6/13)¹⁰ ÷ (6/13)¹⁰ = (6/13)^{10 – 10} = (6/13)⁰

Fill in the blanks to make the statement true.(6/13)10 ÷ [(6/13)5]2 = (6/13)

Answer»

(6/13)¹⁰ ÷ [(6/13)⁵]² = (6/13)⁰

In the given question first consider [(6/13)⁵]²

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

(a^m)ⁿ = a^mn

[(6/13)⁵]² = (6/13)^{(5 × 2)}

= (6/13)¹⁰

Then, (6/13)¹⁰ ÷ (6/13)¹⁰

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m ÷ aⁿ = a^m–n, m>n

(6/13)¹⁰ ÷ (6/13)¹⁰ = (6/13)^{10 – 10}

= (6/13)⁰