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(4/5)^-2÷(1/4)^2
find the value of x^-1?
Most Upvoted Answer
(4/5)^-2÷(1/4)^2find the value of x^-1?
Given Expression:
(4/5)^-2 ÷ (1/4)^2

Solution:

Step 1: Simplify the given expression
(4/5)^-2 ÷ (1/4)^2
= (5/4)^2 ÷ (4/1)^2
= 25/16 ÷ 16/1

Step 2: Divide the fractions
To divide fractions, we multiply by the reciprocal of the divisor:
25/16 ÷ 16/1 = 25/16 * 1/16
= 25/256

Step 3: Find the value of x^-1
Given x^-1 = 25/256
Therefore, x = 256/25

Explanation:
- We first simplified the given expression by converting the fractions to have the same denominator.
- Next, we divided the fractions by multiplying the first fraction by the reciprocal of the second.
- Finally, we found the value of x^-1 to be 25/256, which is equivalent to x = 256/25.
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(4/5)^-2÷(1/4)^2find the value of x^-1?
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