Question

evaluate (6-¹×4-¹)9-¹​

Answer 1

Answer:

The value is 1/216 or (216)-¹​

Step-by-step explanation:

(6-¹×4-¹)9-¹​

(1/6 x 1/4) x 1/9

= (1/24) x 1/9

= 1/216

Answer 2

The value of (6⁻¹×4⁻¹)9⁻¹ is 1/6³ or 6⁻³.

Given : (6⁻¹×4⁻¹)9⁻¹

Concept :

Here in this question, we use the law of exponents for real numbers.

Let 'a' be a real number and 'p' and 'q'  be rational numbers, then

$a^{-p} = \frac{1}{ a^p}$

Step 1: Simplify by using the law of exponent $a^{-p} = \frac{1}{ a^p}$

= (1/6×1/4) x 1/9

= (1/24) x 1/9

= 1/216

Step 2 : Write 216 in exponential form

= 1/6³

= 6⁻³

Hence, the value of (6⁻¹×4⁻¹)9⁻¹ is 1/6³ or 6⁻³.

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