Mathematics: Simplify. 13(1−14)2 as a simplified fraction

If you re gaining 100 calories and then burning all 100 off, what s your net calorie gain in this scenario?...

Simplify. 13(1−14)2 as a simplified fraction - id131142677364, alexandrarosete7

jjxt126

12.03.2022

The simplified form of the given expression is $\frac{1}{13}$ .

Step-by-step explanation:

The given expression is

$\frac{13}{(1-14)^2}$

Simplify the parenthesis.

$\frac{13}{(-13)^2}$

Using product property of exponent, we get

$\frac{13}{(-1)^2(13)^2}$ $[\because (ab)^x=a^xb^x]$

$\frac{13}{(13)^2}$

It can be written as

$\frac{13}{13\times 13}$ $[\because a\times a=a^2]$

Cancel out the common factors.

$\frac{1}{13}$

Therefore the simplified form of the given expression is $\frac{1}{13}$ .

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