Question

Simplify and write down the answer in expotential form:-
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Answer 1

Answer:

27 or 3 cube is the answer thankyou

Answer 2

Given Question:

Simplify and write down the answer in exponential form:

$\sf{\dfrac{2^3\times3^4\times4}{3\times32}}$

Solution:

In this expression, we can first simplify the values which can be simplified into prime factors.

$\sf{=\dfrac{2^3\times3^4\times2^2}{3\times2^5}}$

Now, we can use the following exponential rules:

$\sf{\dfrac{a^m}{a^n}=a^{m-n}}$

$\sf{a^m\times\:a^n=a^{m+n}}$

Applying the same rules here:

$\sf{={2^{3-5}\times3^{4-1}}}$

$\sf{=2^{-2}\times3^3}$

Now, we can use another exponential rule:

$\sf{a^{-m}=\dfrac{1}{a}^m}$

Applying the rule here:

$\sf{=\dfrac{1}{2}^2\times9}$

$\sf{=\dfrac{1}{4}\times9}$

Now, equivalizing the denominators:

LCM = 4 and 1 = 4 x 1 = 4

$\sf{=\dfrac{1\times36}{4}}$

$\sf{=9}$

Therefore the simplified form of the given expression is 9.

So:

$\sf{\dfrac{2^3\times3^4\times4}{3\times32}=9}$