Question

PLEASE HELP Which is the simplified form of the expression

Answer 1

The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²  is  $\frac{1}{3^8}$.

Hence, option B is the correct answer.

What is the simplified form of the expression?

Given the expression;

( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²

First, we use the properties of exponents.

( 2⁻²ˣ⁻³ × 3⁴ˣ⁻³ ) × ( 2⁻³ˣ² × 3²ˣ² )

( 2⁶ × 3⁻¹² ) × ( 2⁻⁶ × 3⁴ )

We take out the parentheses, such that;

2⁶ × 2⁻⁶ × 3⁻¹² × 3⁴

Note that: 2⁶ × 2⁻⁶ = 1, as $2^6*2^{-6}=2^{6+(-6)}=2^0=1$

Hence, we have

1 × 3⁻¹² × 3⁴

3⁻¹²⁺4

3⁻⁸

Next, we express with positive exponent

$\frac{1}{3^8}$

The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²  is  $\frac{1}{3^8}$.

Hence, option B is the correct answer.

Learn more on how to simplify expressions here: brainly.com/question/403991

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