Back to Know and apply the properties of integer exponents — Problem 2 · 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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Concepts

Two expressions are shown: $2^3 \cdot 2^4$ and $(2^3)^4$ . One rule
says "add the exponents" and the other says "multiply the
exponents." Which pairing is correct?

$2^3 \cdot 2^4$ multiplies the exponents; $(2^3)^4$ adds the exponents.

Both expressions multiply their exponents, since both involve exponents and multiplication somewhere in the expression.

$2^3 \cdot 2^4$ adds the exponents (two separate powers multiplied); $(2^3)^4$ multiplies the exponents (one power raised to another power).

Both expressions add their exponents, since both are built from the same base, 2.