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Evaluate powers and numbers in scientific notation · Grade 9 · B2.1

Name: ______________________

Date: ______________________

1
Evaluate 6^2 (that is, 6 raised to the exponent 2).
Warm-up
Answer:
2
Evaluate 2^3 (that is, 2 raised to the exponent 3).
Warm-up
Answer:
3
Evaluate 3^3 (that is, 3 raised to the exponent 3).
Warm-up
Answer:
4
Write 6 × 10^4 in standard (expanded) form.
On level
Answer:
5
Write 6 × 10^4 in standard (expanded) form.
On level
Answer:
6
Write 4 × 10^4 in standard (expanded) form.
On level
Answer:
7
Evaluate 5^(−1). Give your answer as a fraction.
Challenge
Answer:
8
Evaluate 4^(−3). Give your answer as a fraction.
Challenge
Answer:
9
Evaluate 5^(−2). Give your answer as a fraction.
Challenge
Answer:

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Worksheet code: eyJzIjoibnVtYmVyLXBvd2Vycy1ldmFsdWF0ZSIsImQiOls4MTQ1ODU3MzUsMTg0MzUyMCwxOTYyNjY4NDIzLDE1Mjk3MjA5MjYsMzMwMDE4NjgwLDEyMzQ3MjAwMDEsNjA0NjI3NzEsOTEyMjc1NDQ4LDk0OTEzNDEwNl0sInYiOjF9.f38fa5d70bcc

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Answer key · Evaluate powers and numbers in scientific notation

1.
36 — 6^2 means 6 × 6 = 36.
2.
8 — 2^3 means 2 × 2 × 2 = 8.
3.
27 — 3^3 means 3 × 3 × 3 = 27.
4.
60000 — Multiplying by 10^4 shifts the digit 6 left by 4 places: 60000.
5.
60000 — Multiplying by 10^4 shifts the digit 6 left by 4 places: 60000.
6.
40000 — Multiplying by 10^4 shifts the digit 4 left by 4 places: 40000.
7.
1/5 — A negative exponent is the reciprocal of the power: 5^(−1) = 1 ÷ 5^1 = 1/5.
8.
1/64 — A negative exponent is the reciprocal of the power: 4^(−3) = 1 ÷ 4^3 = 1/64.
9.
1/25 — A negative exponent is the reciprocal of the power: 5^(−2) = 1 ÷ 5^2 = 1/25.