What is 0.1((1000^2)/((1000+10t)^2)) ?

The solution to 0.1((1000^2)/((1000+10t)^2)) is (1000)/((100+t)^2)

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simplify 0.1((1000^2)/((1000+10t)^2))

simplify

0.1 (\frac{100 0 ^{2}}{( 1000 + 10 t ) ^{2}})

\frac{1000}{( 100 + t ) ^{2}}

Solution steps

0.1 (\frac{100 0 ^{2}}{( 1000 + 10 t ) ^{2}})

Apply rule:

(a) = a

(\frac{100 0 ^{2}}{( 1000 + 10 t ) ^{2}}) = \frac{100 0 ^{2}}{( 1000 + 10 t ) ^{2}}

= 0.1 \cdot \frac{100 0 ^{2}}{( 1000 + 10 t ) ^{2}}

Cancel

\frac{100 0 ^{2}}{( 1000 + 10 t ) ^{2}} : \frac{10000}{( 100 + t ) ^{2}}

= 0.1 \cdot \frac{10000}{( 100 + t ) ^{2}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{0.1 \cdot 10000}{( 100 + t ) ^{2}}

Multiply the numbers:

0.1 \cdot 10000 = 1000

= \frac{1000}{( 100 + t ) ^{2}}

\frac{e ^{- 2 t}}{e ^{- 3 t}}

(x + 1)^{2} \cdot 4 x^{2}

\frac{π}{2} \cdot e^{- 0.2 \cdot (- 4)}

1 0^{- 4} \cdot e^{\frac{- 250}{8.314 \cdot 670}}

49843.75 (\frac{1}{10} + \frac{1}{8})

What is 0.1((1000^2)/((1000+10t)^2)) ?
The solution to 0.1((1000^2)/((1000+10t)^2)) is (1000)/((100+t)^2)