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

Name: ______________________

Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLWV4cG9uZW50LWxhd3MiLCJkIjpbMTEyNDI3NjYwMyw0NzQyOTc0MDksMTAzMjIzNDkxMSwxOTA4MzU5MzI4LDU0ODU4ODI0OCwxNjA2NTM2NzMyLDE5MDc0NDE0MzYsNTMzNTQ1ODYsMjA3NjgyODE3N10sInYiOjF9.9d37b9475b39

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

1.
64 — Add the exponents: 4^1 × 4^2 = 4^3 = 64.
2.
9 — Add the exponents: 3^1 × 3^1 = 3^2 = 9.
3.
64 — Add the exponents: 4^2 × 4^1 = 4^3 = 64.
4.
16 — Subtract the exponents: 4^4 ÷ 4^2 = 4^2 = 16.
5.
16 — Subtract the exponents: 4^3 ÷ 4^1 = 4^2 = 16.
6.
2 — Subtract the exponents: 2^2 ÷ 2^1 = 2^1 = 2.
7.
64 — Multiply the exponents: (2^3)^2 = 2^6 = 64.
8.
19683 — Multiply the exponents: (3^3)^3 = 3^9 = 19683.
9.
64 — Multiply the exponents: (2^3)^2 = 2^6 = 64.