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4 years ago

Simplify (3^5)^2/3^-2

Mathematics

1 answer:

rosijanka [135]4 years ago

8 0

Answer:

Value of the answer (3¹²)

Step-by-step explanation:

Given:

(3⁵)² / 3⁻²

Find:

Value of the question.

Computation:

⇒ (3⁵)² / 3⁻²

⇒ (3¹⁰) / 3⁻²

⇒ (3¹⁰) (3)²

⇒ (3¹⁰⁺²)

⇒ (3¹²)

⇒ 531,441

Value of the answer = (3¹²)

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Step-by-step explanation:

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And also apply 'u v' formula

$\frac{d}{dx}(uv}) = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)$

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on simplification , we get

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again simplification, we get

$3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}$

taking common ' $\frac{∂z}{∂x}$ on left on side , we get

$(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}$

dividing ' $(3z^{2}- 3yx)$ on both sides, we get

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

<u>Final answer</u>:-

$\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}$

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