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Popular >

simplify te^{t^2-t^2}*t^{100}

Solution

simplify

t e^{t^{2} - t^{2}} \cdot t^{100}

Solution

t^{101}

Solution steps

t e^{t^{2} - t^{2}} t^{100}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

t t^{100} = t^{1 + 100}

= e^{t^{2} - t^{2}} t^{1 + 100}

Add the numbers:

1 + 100 = 101

= e^{t^{2} - t^{2}} t^{101}

e^{t^{2} - t^{2}} = 1

= 1 \cdot t^{101}

Multiply:

1 \cdot t^{101} = t^{101}

= t^{101}

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Frequently Asked Questions (FAQ)

What is te^{t^2-t^2}*t^{100} ?
The solution to te^{t^2-t^2}*t^{100} is t^{101}