What is the remainder when $(2^{14})(3^{14})(5^{14})$ is divided by 10?

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Official Explanation

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To find the remainder when

(2^{14})(3^{14})(5^{14})

is divided by 10, we can use the property that

(x^n)(y^n)(z^n) = (xyz)^n

. Thus, we can rewrite it as

(2^{14})(3^{14})(5^{14}) = (2 imes 3 imes 5)^{14}

. This simplifies to…

Comments

IshikaNov 13, 2024

greatt question!

AashrithJun 16, 2024

Thanks

What this question tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).