Respuesta :

EXPLANATION:

Given;

We are given the following exponential expression;

[tex]4^3\times4^5[/tex]

Required;

We are required to simplify the expression

Step-by-step solution;

We shall begin by applying the rule of exponents, which is;

[tex]a^b\times a^c=a^{b+c}[/tex]

Note that this rule applies when the base is the same for both sides of the expression.

The base here is 4 on both sides, hence we'll have;

[tex]\begin{gathered} 4^3\times4^5=4^{3+5} \\ 4^3\times4^5=4^8 \end{gathered}[/tex]

Therefore,

ANSWER:

Option D is the correct answer.

[tex]4^8[/tex]

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