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which expressions are equivalent to the one below check all that apply 4^3 * 4^x
a. 4^3x
b. 64 * 4^x
c. 4^3-x
d. (4* x)^3
e. 4^3+x
f. 16^3x

Respuesta :

4^3 * 4^x = 64 * 4^x
4^3 * 4^x = 4^(3+x)

answer: b. 64 * 4^x and e. 4^(3+x)
abidemiokin

The result of the expression is [tex]4^{3+x}[/tex]

Indices and function

Using the law of indices

  • [tex]a^m \times a^n = a^{m+n}[/tex]

Applying this law to the given equation

[tex]= 4^3 * 4^x\\= 4^{3+x}[/tex]

You can see that since the base is the same, the powers are added to have the equivalent expression.

The result of the expression is [tex]4^{3+x}[/tex]

Laern more on law of indices here: https://brainly.com/question/10339517

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