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fomenos
3 years ago
5

When simplifying x^3 · x^2, the exponents are added together. True False

Mathematics
1 answer:
Arisa [49]3 years ago
8 0
When multiplying exponentials, there is a rule that states if the bases are the same, we add the exponents together.

In this problem, the two bases that are being multiplied are the same, x.

Therefore, we will add the exponents: x^3 • x^2 = x^5.

The correct answer is true. The exponents are added together when simplifying this expression.
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Answer:

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Step-by-step explanation:

The given expression is : (4^{-2})^5

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or

(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}

So, the simplified form of the given expression is \dfrac{1}{4^{10}}. Hence, the correct option is (A).

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3 years ago
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