Question

Which rational number equals 0 point 1 with bar over 1. If (7²)p = 7⁶, what is the value of p?

Answer 1

`\Large \textsf{Read below}`

Step-by-step explanation:

`\Large \text{$ \sf (7^2)^p = 7^6$}`

`\Large \text{$ \sf \\ot7^(2p) = \\ot7^6$}`

`\Large \text{$ \sf 2p = 6$}`

`\Large \text{$ \sf p = (6)/(2)$}`

`\Large \boxed{\boxed{\text{$ \sf p = 3$}}}`

Answer 2

The rational number that equals 0.1 with a bar over it is 1/9.

Step-by-step explanation:

The rational number that equals 0.1 with a bar over 1 is 1/9. To convert a repeating decimal to a fraction, we set up an equation where x is the repeating decimal: x = 0.1111... Then we multiply both sides of the equation by a power of 10 that has the same number of digits as the repeating part, so in this case, we multiply by 10. This gives us: 10x = 1.1111... Subtracting the original equation from the new one gets rid of the repeating part: 10x - x = 1.1111... - 0.1111... Simplifying and solving for x gives us: 9x = 1, or x = 1/9.