Question

Which expression is equivalent to (StartFraction (2 a Superscript negative 3 Baseline b Superscript 4 Baseline) squared Over (3 a Superscript 5 Baseline b) Superscript negative 2 Baseline EndFraction) Superscript negative 1?

Answer 1

Answer: C is the correct answer!!!! I got it correct! Trust me!!!!!

Answer 2

The expression equivalent to the given expression is $\left[\dfrac{1}{(36a^{4}b^{10})}\right]$ and this can be determined by using the arithmetic operations.

Given :

Expression  ---   $\left[\dfrac{(2a^{-3}b^4)^{2}}{(3a^5b)^{-2}}\right]^{-1}$

The following steps can be used in order to evaluate the given expression:

Step 1 - The arithmetic operations can be used in order to evaluate the given expression.

Step 2 - Write the given expression.

$\left[\dfrac{(2a^{-3}b^4)^{2}}{(3a^5b)^{-2}}\right]^{-1}$

Step 3 - Simplify the above expression.

$\left[\dfrac{1}{(3a^5b)^{2}(2a^{-3}b^4)^{2}}\right]$

Step 4 - Open the brackets and square the given terms in the denominator.

$\left[\dfrac{1}{(9a^{10}b^2)\times (4a^{-6}b^8)}\right]$

Step 5 - Multiply the terms present in the denominator.

$\left[\dfrac{1}{(36a^{4}b^{10})}\right]$

Therefore, the correct option is C).

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