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Popular >

simplify 6(te^5)^5(te^5)

Solution

simplify

6 (t e^{5})^{5} (t e^{5})

Solution

6 e^{30} t^{6}

Solution steps

6 (t e^{5})^{5} (t e^{5})

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

e^{5} (e^{5} t)^{5} = (e^{5} e t)^{5}

= 6 t (e^{5} e t)^{5}

Simplify

e t e^{5} : e^{6} t

= 6 t (e^{6} t)^{5}

(e^{6} t)^{5} : e^{30} t^{5}

= 6 t e^{30} t^{5}

Apply exponent rule:

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

t t^{5} = t^{1 + 5}

= 6 e^{30} t^{1 + 5}

Add the numbers:

1 + 5 = 6

= 6 e^{30} t^{6}

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Frequently Asked Questions (FAQ)

What is 6(te^5)^5(te^5) ?
The solution to 6(te^5)^5(te^5) is 6e^{30}t^6