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# Exponents

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What is the value of 4^(10)*8^(20)*16^(30)? Express your answer in the form a^b, where a and b are positive integers such that a is the least possible positive integer.

May 3, 2022

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We can rewrite this as: $$2^{2^{10}} \times 2^{3^{20}} \times 2^{4^{30}}$$

This can be rewritten as: $$2^{20} \times 2^{60} \times 2^{120}$$

Can you do it from here?

Remember that we add the exponents when we multiply.

May 3, 2022