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Exponents & Powers — Chapter Test

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Q1
aᵐ × aⁿ equals a to the power ___ ?
When multiplying powers of the same base, add the exponents.
Q2
a⁻ⁿ equals ___ ?
A negative exponent gives the reciprocal: a⁻ⁿ = 1/aⁿ.
Q3
a⁰ equals ___ ?
Any non-zero number to the power 0 is 1.
Q4
(aᵐ)ⁿ equals a to the power ___ ?
A power of a power multiplies the exponents.
Q5
What is 2³ × 2²?
2⁵ = 32.
Q6
What is 3⁴ ÷ 3²?
3⁴⁻² = 3² = 9.
Q7
What is (2²)³?
2⁶ = 64.
Q8
What is 2⁻³?
2⁻³ = 1/2³ = 1/8.
Q9
What is 10⁴?
10⁴ = 10,000.
Q10
What is 5² × 5⁰?
5⁰ = 1, so 25 × 1 = 25.
Q11
Write 45000 in standard form.
45000 = 4.5 × 10⁴.
Q12
What is 6 × 10³ as an ordinary number?
6 × 1000 = 6,000.
Q13
What is 2⁵ ÷ 2²?
2⁵⁻² = 2³ = 8.
Q14
Write 0.00007 in standard form.
0.00007 = 7 × 10⁻⁵.
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