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yan [13]
3 years ago
7

What positive number x satisfies the equation 3x^2 = 27^3?

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

3x^2=27^3

Simplify both sides of the equation

3x^2=19683

Then divide both sides by three

x^2=6561

find square root

x=81

Hope this helped :)

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The simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

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Given expression is 4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}.

To simplify the given expression.

$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}

Using exponent rule: \frac{1}{a^{-m}}=a^m

$\Rightarrow4x \cdot x^{5}.x^{-3}

Using another exponent rule: a^m \cdot a^n=a^{m+n}

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$\Rightarrow4x^3

Hence the simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

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