Answered

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Simplify [tex]\left(10^{-2}\right)^4[/tex].

A. [tex]10^{-8}[/tex]

B. [tex]10^{-6}[/tex]

C. [tex]-10^{-6}[/tex]

D. [tex]-10^8[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\left(10^{-2}\right)^4\)[/tex], we can use the power of a power property in exponents. This property states that [tex]\((a^m)^n = a^{m \cdot n}\)[/tex].

Let's apply this property to our expression:

[tex]\[ (10^{-2})^4 = 10^{(-2) \cdot 4} \][/tex]

Now, perform the multiplication in the exponent:

[tex]\[ (-2) \cdot 4 = -8 \][/tex]

Thus, the expression simplifies to:

[tex]\[ 10^{-8} \][/tex]

So, the answer is:

[tex]\[ 10^{-8} \][/tex]
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