Mathematics: Find the value of n 5^10 ÷ 5^8=(1/5)^n

Find the value of n 5^10 ÷ 5^8=(1/5)^n - id51058156945288, alemorachis49

nathangirnet

29.01.2022

5^10 / 5^8 = 5^2 = 25 so the equation becomes 25 = (1/5) ^ n. This means that n = -2.

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austintules2005

29.01.2022

n=-2

Step-by-step explanation:

$\frac{5^{10}}{5^8}=(\frac{1}{5})^n$

Use the law of exponents.

$5^{10-8}=\left(\frac{1}{5}\right)^n$

1/5 can be written with a base of 5.

$5^{10-8}=\left(5^{-1}\right)^n$

Cancel the base 5 on both sides.

$10-8=-1\times \:n$

2=-n

Multiply both sides with -1.

n=-2

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mrashrafkotkaat

14.04.2023

39°

Step-by-step explanation:

For a straight line, the sum of angle is 180°

At the point where we have the 107°, the inner angle in the triangle will be 180-107=73°

68° is alternate angle to the inner angle in the triangle

Since the sum of angles in a triangle are 180°, then angle x will be

X=180-73-68=39°

Therefore, missing angle is 39°

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