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

Name: ______________________

Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLWV4cG9uZW50LWxhd3MiLCJkIjpbMjk2MTEzNzEzLDkyMjkzMzg0LDEyNzU3NTYyMDcsNjcwNDI4MzgwLDc4NTc1NDI0OSwyOTg1NDY3MzcsNTQyNjM2NjA2LDc1NDc5MTQ4MiwxNTcxMDU0NDk3XSwidiI6MX0.9ad71650aa07

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

1.
64 — Add the exponents: 4^2 × 4^1 = 4^3 = 64.
2.
64 — Add the exponents: 2^3 × 2^3 = 2^6 = 64.
3.
256 — Add the exponents: 4^3 × 4^1 = 4^4 = 256.
4.
4 — Subtract the exponents: 2^4 ÷ 2^2 = 2^2 = 4.
5.
9 — Subtract the exponents: 3^4 ÷ 3^2 = 3^2 = 9.
6.
9 — Subtract the exponents: 3^3 ÷ 3^1 = 3^2 = 9.
7.
81 — Multiply the exponents: (3^2)^2 = 3^4 = 81.
8.
729 — Multiply the exponents: (3^3)^2 = 3^6 = 729.
9.
512 — Multiply the exponents: (2^3)^3 = 2^9 = 512.