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Homework Practice

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Power Play: Practice 2

Section A: Core Practice

Question 1mcq
Simplify x3×x4x^3\times x^4.
A.x1x^1
B.2x72x^7
C.x12x^12
D.x7x^7
Question 2mcq
Simplify a10÷a4a^10\div a^4, where a≠0a\neq 0.
A.a40a^40
B.a6a^6
C.11
D.a14a^14
Question 3mcq
Simplify (m4)2(m^4)^2.
A.m4m^4
B.m6m^6
C.m8m^8
D.m−2m^-2
Question 4mcq
Write 900000000900000000 in scientific notation.
A.9×1089\times 10^8
B.9×1079\times 10^7
C.9×1099\times 10^9
D.900000000×100900000000\times 10^0
Question 5mcq
A cell diameter is about 6e−066e-06 m. Which is this length in scientific notation?
A.6×1066\times 10^6
B.6e−06×1006e-06\times 10^0
C.6×10−66\times 10^{-6}
D.60×10−660\times 10^{-6}
Question 6mcq
Which is greater: 4.1×1064.1\times 10^6 or 5.1×1055.1\times 10^5?
A.They cannot be compared
B.5.1×1055.1\times 10^5 is greater
C.They are equal
D.4.1×1064.1\times 10^6 is greater

Section B: Reasoning and Application

Question 7mcq
Write 3×3×3×3×33 \times 3 \times 3 \times 3 \times 3 using exponents.
A.1515
B.353^5
C.88
D.535^3
Question 8mcq
Evaluate 636^3.
A.99
B.216216
C.1818
D.210210
Question 9mcq
Simplify x3×x4x^3\times x^4.
A.x1x^1
B.x12x^12
C.2x72x^7
D.x7x^7
Question 10mcq
Simplify a10÷a4a^10\div a^4, where a≠0a\neq 0.
A.11
B.a40a^40
C.a14a^14
D.a6a^6
Question 11mcq
Simplify (m4)2(m^4)^2.
A.m8m^8
B.m6m^6
C.m−2m^-2
D.m4m^4
Question 12mcq
Write 900000000900000000 in scientific notation.
A.9×1089\times 10^8
B.9×1099\times 10^9
C.9×1079\times 10^7
D.900000000×100900000000\times 10^0