The value of [2⁻¹ × 3⁻¹]⁻¹ is _________. Fill in the blank to make the statement true.

Solution:

Given, the value of [2^-1 × 3^-1]^-1 is _________.

Using the law of exponents,

a^-n = 1/aⁿ

So, 2^-1 = 1/2

Similarly, 3^-1 = 1/3

Now, 2^-1 × 3^-1 = 1/2 × 1/3

= 1/6

[2^-1 × 3^-1]^-1 = (1/6)^-1

= 6

Therefore, the required value is 6.

✦ Try This: The value of [5^-1 × 8^-1]^-1 is _________. 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 61

The value of [2⁻¹ × 3⁻¹]⁻¹ is _________. Fill in the blank to make the statement true.

Summary:

The value of [2⁻¹ × 3⁻¹]⁻¹ is 6 makes the statement true

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☛ Related Questions:

• By solving (6⁰ - 7⁰) × (6⁰ + 7⁰) we get ________. Fill in the blank to make the statement true
• The expression for 3⁵ with a negative exponent is _________. Fill in the blank to make the statement . . . .
• The value for (-7)⁶ ÷ 7⁶ is _________. Fill in the blank to make the statement true