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Evaluate(0.1)³ Solve (1/10)⁴

User Iamkhush
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We can express the number 0.1 as the quotient 1/10, then we get:


(0.1)^3=((1)/(10))^3

With quotients, we can distribute the power, and raise both the numerator and the denominator, like this:


((1)/(10))^3=(1^3)/(10^3)

no matter what is the value of the power, every time you raise 1 to something, you get 1, then we get:


(1^3)/(10^3)=(1)/(10^3)

In this case, we have 10^3 in the denominator, this is the same as multiplying 10 3 times, like this:


(1)/(10^3)=(1)/(10*10*10)=(1)/(100*10)=(1)/(1000)

Then:


(0.1)^3=(1)/(1000)

Similarly, with (1/10)^4:


((1)/(10))^4=(1^4)/(10^4)=(1)/(10^4)=(1)/(10*10*10*10)=(1)/(10000)

User The Fabio
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