Mathematics: Pl describe how(2^3)(2^-4) can be simplified. multiply the bases and add the exponents. then find the reciprocal and change the sign of the exponent. keep the same base and add the exponents. then multiply by –1. keep the base and multiply the exponents. then multiply by –1. add the exponents and keep the same base. then find the reciprocal and change the sign of the exponent.

Pl describe how(2^3)(2^-4) can be simplified. multiply

bethyboop1820

02.06.2020

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.

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neyssa83

02.06.2020

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.

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

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originnjoku3632

18.10.2020

918m

Step-by-step explanation:

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