Which equations are equivalent to the expression below ? Check all that apply
4^3 * 4^x
A. 4^3 * 4^x
B. (4 * x )^3
C. 4^3-x
D.64 * 4^x
E. 4^3x
F.16^3x

Respuesta :

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.