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Exponents & Powers — Chapter Test

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Q1
aᵐ ÷ aⁿ equals a to the power ___ ?
Dividing powers of the same base subtracts the exponents.
Q2
a⁻ⁿ equals ___ ?
A negative exponent gives the reciprocal.
Q3
a⁰ equals ___ ?
Any non-zero number to the power 0 is 1.
Q4
Which is larger: 10³ or 10⁵?
A higher power of 10 is larger.
Q5
What is 2³ × 2²?
2⁵ = 32.
Q6
What is 3⁵ ÷ 3³?
3⁵⁻³ = 3² = 9.
Q7
What is 2⁻⁴?
2⁻⁴ = 1/2⁴ = 1/16.
Q8
What is (10²)³?
10²ˣ³ = 10⁶.
Q9
What is 5⁻²?
5⁻² = 1/5² = 1/25.
Q10
What is 4⁰ + 4¹?
1 + 4 = 5.
Q11
Write 0.00006 in standard form.
0.00006 = 6 × 10⁻⁵.
Q12
Write 4,500,000 in standard form.
4,500,000 = 4.5 × 10⁶.
Q13
What is 2⁵ × 2⁻² ÷ 2?
Exponents: 5 − 2 − 1 = 2, so 2² = 4.
Q14
What is (3 × 10²) × (2 × 10³) as an ordinary number?
6 × 10⁵ = 600,000.
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