(a⁷b³/a⁵b) = ______. Fill in the blanks to make the statement true

Solution:

Given, (a⁷b³/a⁵b) = ______

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

Considering a⁷/a⁵,

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

a^m ÷ aⁿ = a^m-n , m>n

Here, m = 7 and n = 5

Since 7 > 5, it satisfies the condition m > n

m - n = 7 - 5 = 2

a^m-n = (a)²

Now, a⁷/a⁵ = a²

Considering b³/b,

Here, m = 3 and n = 1.

Since 3 > 1, it satisfies the condition m > n

m - n = 3 - 1 = 2

a^m-n = (b)²

Now, b³/b = b²

Therefore, (a⁷b³/a⁵b) = a²b² or (ab)²

✦ Try This: (x³y²/x²y) = ______. 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 5

(a⁷b³/a⁵b) = ______. Fill in the blanks to make the statement true

Summary:

(a⁷b³/a⁵b) = (ab)²

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☛ Related Questions:

• 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
• ab > ba is true, if a = 3 and b = 4; but false, if a = 2 and b = 3