What is (csc(t)-cot(t))^4(csc(t)+cot(t))^4 ?

The solution to (csc(t)-cot(t))^4(csc(t)+cot(t))^4 is (csc(t)-cot(t))^4(csc(t)+cot(t))^4

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simplify (csc(t)-cot(t))^4(csc(t)+cot(t))^4

simplify

(csc (t) - cot (t))^{4} (csc (t) + cot (t))^{4}

(csc (t) - cot (t))^{4} (csc (t) + cot (t))^{4}

Solution steps

(csc (t) - cot (t))^{4} (csc (t) + cot (t))^{4}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(csc (t) - cot (t))^{4} (csc (t) + cot (t))^{4} = ((csc (t) - cot (t)) (csc (t) + cot (t)))^{4}

= ((csc (t) - cot (t)) (csc (t) + cot (t)))^{4}

Apply exponent rule:

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

= (csc (t) - cot (t))^{4} (csc (t) + cot (t))^{4}

k (k + 1)

e^{- l n (p)}

{[(3 ab)^{2}]^{2}}^{- 1}

(6.626 \cdot 1 0^{- 34}) \cdot (6 \cdot 1 0^{13})

\frac{( a - b ) ^{2}}{( a + b ) ^{2}}

What is (csc(t)-cot(t))^4(csc(t)+cot(t))^4 ?
The solution to (csc(t)-cot(t))^4(csc(t)+cot(t))^4 is (csc(t)-cot(t))^4(csc(t)+cot(t))^4