3⁵ ÷ 3⁻⁶ can be simplified as __________. Fill in the blank to make the statement true.

Solution:

Given, 3⁵ ÷ 3⁻⁶ can be simplified as __________.

Using the law of exponents,

a^m ÷ aⁿ = a^{m - n}

From the given expression,

a = 3

m = 5

n = -6

m - n = 5 - (-6)

= 5 + 6

= 11

So, a^{m - n} = 3¹¹

Therefore, the required value is 3¹¹.

✦ Try This: 4⁷ ÷ 4⁻⁵ can be simplified as __________. Fill in the blank to make the statement true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 52

3⁵ ÷ 3⁻⁶ can be simplified as __________. Fill in the blank to make the statement true.

Summary:

3⁵ ÷ 3⁻⁶ can be simplified as 3¹¹ using the laws of exponents

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☛ Related Questions:

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