Answered

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Write an expression that simplifies x^-4? Would it be 1/x^4? Please help explain. Thanks!

Write An Expression That Simplifies X4 Would It Be 1x4 Please Help Explain Thanks class=

Sagot :

Answer::

[tex]\frac{x^{-7}}{x^{-3}}[/tex]

Explanation:

Given the expression:

[tex]x^{-4}[/tex]

We want to find an expression that simplifies to the given expression.

Consider the expression below:

[tex]\frac{x^{-7}}{x^{-3}}[/tex]

Applying the division law of indices:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Therefore:

[tex]\frac{x^{-7}}{x^{-3}}=x^{-7-(-3)}=x^{-7+3}=x^{-4}[/tex]

An expression that simplifies to the given expression is:

[tex]\frac{x^{-7}}{x^{-3}}[/tex]

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