What is 5^{n^2+2}*0.2^{n^2+2} ?

The solution to 5^{n^2+2}*0.2^{n^2+2} is 1^{n^2+2}

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simplify 5^{n^2+2}*0.2^{n^2+2}

simplify

5^{n^{2} + 2} \cdot 0. 2^{n^{2} + 2}

1^{n^{2} + 2}

Solution steps

5^{n^{2} + 2} \cdot 0. 2^{n^{2} + 2}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

5^{n^{2} + 2} \cdot 0. 2^{n^{2} + 2} = (5 \cdot 0.2)^{n^{2} + 2}

= (5 \cdot 0.2)^{n^{2} + 2}

Multiply the numbers:

5 \cdot 0.2 = 1

= 1^{n^{2} + 2}

5^{32}

e^{- 3 t} \cdot e^{- s t}

(e^{6})^{2}

1.3 e^{- 2}

1.3 e^{- 1}

What is 5^{n^2+2}*0.2^{n^2+2} ?
The solution to 5^{n^2+2}*0.2^{n^2+2} is 1^{n^2+2}