Question

HELP PLZZZZZ

Answer 1

Answer: Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

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

The product law of exponent says that:-

$a^m\times a^n=a^{m+n}$

So first we add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

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

Answer 2

Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Explanation:

Given expression:

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

Step-1: Add the exponents and keep the same base by using $x^a*x^b = x^{a+b}$ property.

$(2^3)(2^{-4}) = 2^{(3+(-4))} = 2^{-1}$

Step-2: The reciprocal of $2^{-1}$ is $\frac{1}{2^{-1}}$, which is $2^1$

Step-3: The exponent of $2^1$ is +1; therefore, change the sign of exponent. The end expression will now become:

$2^{-1}$

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.