Mathematics: Select the equivalent expression

3x - 8 = -23x -8+8 = -2 +83x = 63x/3 = 6/3x = 2sx - 6( 2-6)= -4that is the value of x -6= -4...

Select the equivalent expression - id6075592, ccarman1432

genyjoannerubiera

24.01.2022

Given:

The given expression is $\left(3^{3} \cdot 6^{6}\right)^{-3}$

We need to determine the equivalent expression.

Equivalent expression:

The equivalent expression can be determined by solving the given expression.

Let us apply the exponent rule, $a^{-b}=\frac{1}{a^{b}}$

Thus, we get;

$\frac{1}{\left(3^{3} \cdot 6^{6}\right)^{3}}$

Again, applying the exponent rule, $(a \cdot b)^{n}=a^{n} b^{n}$

Thus, we have;

$\frac{1}{\left(3^{3})^3 \cdot (6^{6}\right)^{3}}$

Simplifying, we get;

$\frac{1}{3^{9} \cdot 6^{18}}$

Thus, the equivalent expression is $\frac{1}{3^{9} \cdot 6^{18}}$

Hence, Option C is the correct answer.

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nauticatyson9

24.11.2020

3x - 8 = -2

3x -8+8 = -2 +8

3x = 6

3x/3 = 6/3

x = 2

x - 6

( 2-6)

= -4

that is the value of x -6

= -4

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