Back to Know and apply the properties of integer exponents — Problem 3 · Task Set 6

8.EE.A.1 Tutor Intake -- Properties of Integer Exponents

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Grade 8·12 problems·~12 min·Common Core Math - Grade 8·container·8-ee-a-1

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Following the pattern $5^3 = 125$ , $5^2 = 25$ , $5^1 = 5$ , each step
divides the previous value by 5. What does this pattern give for
$5^0$ ?

$5^0 = 1$ , because $5 \div 5 = 1$ .

$5^0 = 0$ , because raising to the zero power means "zero copies," which is nothing.

$5^0 = 5$ , because the pattern stays the same once the exponent reaches zero.

$5^0$ is undefined, because you can't raise a number to the power of zero.