On dividing 8⁵ by _________ we get 8. Fill in the blank to make the statement true.

Solution:

Given, On dividing 8⁵ by _________ we get 8.

Let the value to be divided be x.

So, 8⁵ ÷ x = 8

8⁵ × (1/x) = 8

8x = 8⁵

x = 8⁵/8

Using the law of exponents,

a^m ÷ aⁿ = a^{m - n}

x = 8^{5 - 1}

x = 8⁴

Therefore, the value to be divided is 8⁴.

✦ Try This: On dividing 7⁴ by _________ we get 7. Fill in the blank to make the statement true.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

---

NCERT Exemplar Class 8 Maths Chapter 8 Problem 58

On dividing 8⁵ by _________ we get 8. Fill in the blank to make the statement true.

Summary:

On dividing 8⁵ by 8⁴ we get 8 makes the statement true

---

☛ Related Questions:

• On multiplying _________ by 2⁻⁵ we get 2⁵. Fill in the blank to make the statement true
• The value of [3⁻¹ × 4⁻¹]² is _________. Fill in the blank to make the statement true
• The value of [2⁻¹ × 3⁻¹]⁻¹ is _________. Fill in the blank to make the statement true