What is (2x+5y)^4(2x-5y)^4 ?

The solution to (2x+5y)^4(2x-5y)^4 is (2x+5y)^4(2x-5y)^4

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simplify (2x+5y)^4(2x-5y)^4

simplify

(2 x + 5 y)^{4} (2 x - 5 y)^{4}

(2 x + 5 y)^{4} (2 x - 5 y)^{4}

Solution steps

(2 x + 5 y)^{4} (2 x - 5 y)^{4}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(2 x + 5 y)^{4} (2 x - 5 y)^{4} = ((2 x + 5 y) (2 x - 5 y))^{4}

= ((2 x + 5 y) (2 x - 5 y))^{4}

Apply exponent rule:

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

= (2 x + 5 y)^{4} (2 x - 5 y)^{4}

29.2 \cdot 2.034 \cdot 1 0^{- 17}

e^{- 0.00034} (30 \cdot 24)

\frac{1}{5} 0. 5^{- 5}

3.456 \cdot 1 0^{- 2}

(1 - e^{- 2 t})^{- 1}

What is (2x+5y)^4(2x-5y)^4 ?
The solution to (2x+5y)^4(2x-5y)^4 is (2x+5y)^4(2x-5y)^4