On multiplying _________ by 2⁻⁵ we get 2⁵. Fill in the blank to make the statement true.

Solution:

Given, On multiplying _________ by 2⁻⁵ we get 2⁵.

Let the value to be multiplied be x.

So, x × 2⁻⁵ = 2⁵

x = 2⁵/2⁻⁵

Using the law of exponents,

a^m ÷ aⁿ = a^{m - n}

x = 2^{5 + 5}

x = 2¹⁰

Therefore, the value to be multiplied is 2¹⁰.

✦ Try This: On multiplying _________ by 4⁻⁸ we get 4⁴. 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 59

On multiplying _________ by 2⁻⁵ we get 2⁵. Fill in the blank to make the statement true.

Summary:

On multiplying 2¹⁰ by 2^-5 we get 2⁵ makes the statement true

---

☛ Related Questions:

• 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
• By solving (6⁰ - 7⁰) × (6⁰ + 7⁰) we get ________. Fill in the blank to make the statement true