Question

Describe how (2 cubed) (2 superscript negative 4) can be simplified.

Answer 1

Given:

The given expression is $(2^3)(2^{-4})$

We need to determine how the expression can be simplified.

Simplifying the expression:

Let us determine how the expression can be simplified.

The expression is given by

$(2^3)(2^{-4})$

Applying the exponent rule that $a^{b} \cdot a^{c}=a^{b+c}$ in the above expression, we get;

$2^{3} \cdot 2^{-4}=2^{3-4}$

Adding the exponents, we get;

$2^{3} \cdot 2^{-4}=2^{-1}$

Again, applying the exponent rule $a^{-1}=\frac{1}{a}$, we get;

$2^{3} \cdot 2^{-4}=\frac{1}{2}$

Thus, the simplified expression is $\frac{1}{2}$

Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Therefore, Option D is the correct answer.

Answer 2

Answer:

D.

Step-by-step explanation: