The given expression is [tex] 4^{3} \times 4^{x} [/tex]
By using the law of exponent which states that [tex] a^{m} \times a^{n} = a^{m+n} [/tex]
[tex] 4^{3} \times 4^{x} = 4^{3+x} [/tex]
We need to find the equivalent expression for the given expression from the given expressions.
1. [tex] 4^{3} \times 4^{x} = 4^{3+x} [/tex]
This expression is equivalent to the given expression.
2. [tex] (4 \times x)^{3} = (4x)^{3} = 64x^{3} [/tex]
This expression is not equivalent to the given expression.
3. [tex] 4^{3-x} [/tex]
This expression is not equivalent to the given expression.
4. [tex] 64 \times 4^{x} = (4)^{3} \times 4^{x}=4^{3+x} [/tex]
This expression is equivalent to the given expression.
5. [tex] 4^{3x} [/tex]
This expression is not equivalent to the given expression.
6. [tex] 16^{3x}=(4^{2})^{3x}=4^{6x} [/tex]
This expression is not equivalent to the given expression.