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

Name: ______________________

Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLWV4cG9uZW50LWxhd3MiLCJkIjpbMjE0NTY2NTAxNCw3NzU2NjE5ODgsMTE4NDY2MTAzNywxMzQ4NTc2ODgwLDExNDA4OTU2NTMsMTA0MTAzNTg2MCw3MDE4NjEyODcsMjExNjIyOTY2LDE0NTk1OTAwM10sInYiOjF9.91ca8cea97a2

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

1.
256 — Add the exponents: 4^2 × 4^2 = 4^4 = 256.
2.
64 — Add the exponents: 4^2 × 4^1 = 4^3 = 64.
3.
243 — Add the exponents: 3^3 × 3^2 = 3^5 = 243.
4.
2 — Subtract the exponents: 2^2 ÷ 2^1 = 2^1 = 2.
5.
2 — Subtract the exponents: 2^2 ÷ 2^1 = 2^1 = 2.
6.
4 — Subtract the exponents: 2^3 ÷ 2^1 = 2^2 = 4.
7.
19683 — Multiply the exponents: (3^3)^3 = 3^9 = 19683.
8.
729 — Multiply the exponents: (3^2)^3 = 3^6 = 729.
9.
729 — Multiply the exponents: (3^2)^3 = 3^6 = 729.