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chubhunter [2.5K]
3 years ago
13

Write the missing exponent. 1/169 = (1/13)

Mathematics
2 answers:
sineoko [7]3 years ago
6 0
Answer is 2 because 13 times 13 is 169
slavikrds [6]3 years ago
3 0

Answer:

\frac{1^2}{13^2}=(\frac{1}{13})^{2}

Step-by-step explanation:

We have been given an equation \frac{1}{169}=(\frac{1}{13})^{*}. We are asked to write the missing exponent for our given equation.

We can see that 169 is square of 13, so we can write left side of our equation as:

\frac{1}{13^2}=(\frac{1}{13})^{*}

We can raise 1 to any power and answer will be same.

Raising 1 to 2nd power, we will get:

\frac{1^2}{13^2}=(\frac{1}{13})^{*}

Since both numerator and denominator is raised to 2nd power, so we can raise (\frac{1}{13}) to 2nd power as:

\frac{1^2}{13^2}=(\frac{1}{13})^{2}

Therefore, our missing exponent is 2.

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