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Pani-rosa [81]
2 years ago
9

Which expressions are equivilant to 6^16?

Mathematics
1 answer:
belka [17]2 years ago
4 0

The expressions which are equivalent to 6¹⁶ are

(6^{8}) ^{2}

(6^{-2}) ^{\times -8}

and (6^{-4}) ^{\times -4}

<h3>Equivalent expressions </h3>

From the question, we are to determine which of the given expressions are equivalent to 6¹⁶

From one of the laws of indices, we have that

x^{y\times z} = (x^{y})^{z}

The given expression, 6¹⁶, can be expressed as

6^{8\times 2}

or

6^{-2\times -8}

or

6^{-4\times -4}

Then,

6^{8\times 2}= (6^{8}) ^{2}

6^{-2\times -8}= (6^{-2}) ^{\times -8}

6^{-4\times -4}= (6^{-4}) ^{\times -4}

Hence, the expressions which are equivalent to 6¹⁶ are

(6^{8}) ^{2}

(6^{-2}) ^{\times -8}

and (6^{-4}) ^{\times -4}

Learn more on Equivalent expressions here: brainly.com/question/21643960

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