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Popular >

simplify t^4e^6*4t^2e^3

Solution

simplify

t^{4} e^{6} \cdot 4 t^{2} e^{3}

Solution

4 e^{9} t^{6}

Solution steps

t^{4} e^{6} \cdot 4 t^{2} e^{3}

Apply exponent rule:

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

e^{6} e^{3} = e^{6 + 3}

= t^{4} \cdot 4 t^{2} e^{6 + 3}

Add the numbers:

6 + 3 = 9

= t^{4} \cdot 4 t^{2} e^{9}

Apply exponent rule:

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

t^{4} t^{2} = t^{4 + 2}

= 4 t^{4 + 2} e^{9}

Add the numbers:

4 + 2 = 6

= 4 t^{6} e^{9}

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Frequently Asked Questions (FAQ)

What is t^4e^6*4t^2e^3 ?
The solution to t^4e^6*4t^2e^3 is 4e^9t^6