Math, asked by mastanip6504, 1 year ago

2⁴ ÷ x⁵ X x² ÷ 2³ : Simplify.

Answers

Answered by sonabrainly
2

we get the answer:x^-2

Answered by 23saurabhkumar
1

Answer:

2⁴ ÷ [(x)⁵] x [(x)²] ÷ 2³ = 2x^{-3}

Step-by-step explanation:

In the question,

We have been provided the equation,

2⁴ ÷ [(x)⁵] x [(x)²] ÷ 2³

So, on simplifying the above equation with the help of BODMAS rule we get,

\frac{2^{4}}{x^{5}}\times \frac{x^{2}}{2^{3}}

So, on solving it further we get also by cancelling the common term from the numerator and from the denominator both, we get,

\frac{2^{4}}{x^{5}}\times \frac{x^{2}}{2^{3}}=\frac{2^{4-3}}{x^{5-2}}=\frac{2}{x^{3}}

So,

2x^{-3}

(Because, If the bases of the numbers are common then the power gets added on multiplying.)

So,

Therefore, the simplified value of the given term is given by,

2x^{-3}

So,

2⁴ ÷ [(x)⁵] x [(x)²] ÷ 2³ = 2x^{-3}

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