If 36 = 6 × 6 = 6², then 1/36 expressed as a power with the base 6 is ________. Fill in the blank to make the statement true.

Solution:

Given, If 36 = 6 × 6 = 6², then 1/36 expressed as a power with the base 6 is ________.

Given, 36 = 6²

So, 1/36 = 1/6²

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

So, 1/6² = 6⁻²

Therefore, the required value is 6⁻².

✦ Try This: If 81 = 9 × 9 = 9², then 1/81 expressed as a power with the base 9 is ________. Fill in the blanks 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 50

If 36 = 6 × 6 = 6², then 1/36 expressed as a power with the base 6 is ________. Fill in the blank to make the statement true.

Summary:

If 36 = 6 × 6 = 6², then 1/36 expressed as a power with the base 6 is 6⁻².

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☛ Related Questions:

• By multiplying (5/3)⁴ by ________ we get 5⁴. Fill in the blank to make the statement true
• 3⁵ ÷ 3⁻⁶ can be simplified as __________. Fill in the blank to make the statement true
• The value of 3 × 10⁻⁷ is equal to ________. Fill in the blank to make the statement true