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

Name: ______________________

Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLWV4cG9uZW50LWxhd3MiLCJkIjpbMTkzMTQ1NzQ4LDg3ODkxNjA2Nyw2Njk3NjQzOTksNDk0NjQ1Nzg5LDYyNDM4NzM5MSwxOTE3MjgxNDI3LDE3NzMxNjA2MCwxMzIxNzk1OTAsOTY4MzgxMjg5XSwidiI6MX0.02b884ed082b

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

1.
1024 — Add the exponents: 4^3 × 4^2 = 4^5 = 1024.
2.
81 — Add the exponents: 3^2 × 3^2 = 3^4 = 81.
3.
256 — Add the exponents: 4^1 × 4^3 = 4^4 = 256.
4.
8 — Subtract the exponents: 2^5 ÷ 2^2 = 2^3 = 8.
5.
3 — Subtract the exponents: 3^3 ÷ 3^2 = 3^1 = 3.
6.
4 — Subtract the exponents: 2^3 ÷ 2^1 = 2^2 = 4.
7.
81 — Multiply the exponents: (3^2)^2 = 3^4 = 81.
8.
64 — Multiply the exponents: (2^3)^2 = 2^6 = 64.
9.
19683 — Multiply the exponents: (3^3)^3 = 3^9 = 19683.