SabrinaStella2222
Answered

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Simplify (x⁴)³ ??????

Sagot :

gcantiga44

Rule:

(xᵃ)ᵇ = x⁽ᵃ * ᵇ⁾

(x⁴)³ = x⁽⁴ * ³⁾ = x¹²

boffeemadrid

The simplified form of the given expression is needed.

The simplified form of the given expression is [tex]x^{12}[/tex]

Exponents

Exponents are useful to condense a multiplication operation just by showing how many times to use the number in a multiplication.

The given term is [tex](x^4)^3[/tex]

It can be written as

[tex](x\times x\times x\times x)^3[/tex]

[tex]=(x\times x\times x\times x)(x\times x\times x\times x)(x\times x\times x\times x)[/tex]

[tex]=x^{12}[/tex]

or

[tex](x^4)^3=x^{4\times 3}=x^{12}[/tex]

Because [tex](x^a)^b=x^{a\times b}[/tex]

Learn more about exponents:

https://brainly.com/question/2456547

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