(5⁷ ÷ 5⁶)² = ______. Fill in the blanks to make the statement true.

Solution:

Given, (5⁷ ÷ 5⁶)² = ______

We have to fill in the blanks to make the statement true.

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

a^m ÷ aⁿ = a^m-n , m>n

Here, a = 5, m = 7 and n = 6

Since 7 > 6, it satisfies the condition m > n

m - n = 7 - 6 = 1

a^m-n = (5)¹ = 5

Now, (5⁷ ÷ 5⁶)² = (5)²

= 25

Therefore, (5⁷ ÷ 5⁶)² = = 25

✦ Try This: (8⁶ ÷ 8⁴)² = ______. Fill in the blanks to make the statement true

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

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NCERT Exemplar Class 7 Maths Chapter 11 Sample Problem 4

(5⁷ ÷ 5⁶)² = ______. Fill in the blanks to make the statement true

Summary:

(5⁷ ÷ 5⁶)² = 25

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☛ Related Questions:

• (a⁷b³/a⁵b) = ______. Fill in the blanks to make the statement true.
• In the number 7⁵, 5 is the base and 7 is the exponent. State whether the given statement is true or . . . .
• a⁴/b³ = (a+a+a+a)/(b+b+b). State whether the given statement is true or false