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Apply the exponent laws to simplify and evaluate powers · Grade 9 · B2.2

Name: ______________________

Date: ______________________

1
Write 4^1 × 4^1 as a single power, then evaluate it.
Warm-up
Answer:
2
Write 3^1 × 3^1 as a single power, then evaluate it.
Warm-up
Answer:
3
Write 2^1 × 2^2 as a single power, then evaluate it.
Warm-up
Answer:
4
Write 3^3 ÷ 3^2 as a single power, then evaluate it.
On level
Answer:
5
Write 3^2 ÷ 3^1 as a single power, then evaluate it.
On level
Answer:
6
Write 2^2 ÷ 2^1 as a single power, then evaluate it.
On level
Answer:
7
Write (3^2)^3 as a single power, then evaluate it.
Challenge
Answer:
8
Write (2^3)^3 as a single power, then evaluate it.
Challenge
Answer:
9
Write (3^2)^2 as a single power, then evaluate it.
Challenge
Answer:

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Worksheet code: eyJzIjoibnVtYmVyLWV4cG9uZW50LWxhd3MiLCJkIjpbMTk0OTgyOTExMyw0MTAwMTA2Miw1NzM3NTY4NDAsNjU0MTQyMjIxLDEzNzUzMTUxMTMsMTEwOTE4NzE3NywxOTY3MDQzMjc2LDcwOTE5ODkwNiwxMzI3ODI3NzQ0XSwidiI6MX0.1e5750c66ead

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Answer key · Apply the exponent laws to simplify and evaluate powers

1.
16 — Add the exponents: 4^1 × 4^1 = 4^2 = 16.
2.
9 — Add the exponents: 3^1 × 3^1 = 3^2 = 9.
3.
8 — Add the exponents: 2^1 × 2^2 = 2^3 = 8.
4.
3 — Subtract the exponents: 3^3 ÷ 3^2 = 3^1 = 3.
5.
3 — Subtract the exponents: 3^2 ÷ 3^1 = 3^1 = 3.
6.
2 — Subtract the exponents: 2^2 ÷ 2^1 = 2^1 = 2.
7.
729 — Multiply the exponents: (3^2)^3 = 3^6 = 729.
8.
512 — Multiply the exponents: (2^3)^3 = 2^9 = 512.
9.
81 — Multiply the exponents: (3^2)^2 = 3^4 = 81.