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Homework Practice

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Power Play: Practice 3

Section A: Core Practice

Question 1mcq
Simplify (m4)2(m^4)^2.
A.m2m^-2
B.m4m^4
C.m8m^8
D.m6m^6
Question 2mcq
Write 900000000900000000 in scientific notation.
A.900000000×100900000000\times 10^0
B.9×1099\times 10^9
C.9×1089\times 10^8
D.9×1079\times 10^7
Question 3mcq
A cell diameter is about 6e066e-06 m. Which is this length in scientific notation?
A.60×10660\times 10^{-6}
B.6e06×1006e-06\times 10^0
C.6×1066\times 10^{-6}
D.6×1066\times 10^6
Question 4mcq
Which is greater: 4.1×1064.1\times 10^6 or 5.1×1055.1\times 10^5?
A.5.1×1055.1\times 10^5 is greater
B.They are equal
C.4.1×1064.1\times 10^6 is greater
D.They cannot be compared
Question 5mcq
Write 3×3×3×3×33 \times 3 \times 3 \times 3 \times 3 using exponents.
A.88
B.535^3
C.1515
D.353^5
Question 6mcq
Evaluate 636^3.
A.216216
B.1818
C.99
D.210210

Section B: Reasoning and Application

Question 7mcq
Simplify x3×x4x^3\times x^4.
A.x1x^1
B.2x72x^7
C.x7x^7
D.x12x^12
Question 8mcq
Simplify a10÷a4a^10\div a^4, where a0a\neq 0.
A.a6a^6
B.11
C.a40a^40
D.a14a^14
Question 9mcq
Simplify (m4)2(m^4)^2.
A.m4m^4
B.m2m^-2
C.m6m^6
D.m8m^8
Question 10mcq
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
Question 11mcq
A cell diameter is about 6e066e-06 m. Which is this length in scientific notation?
A.6e06×1006e-06\times 10^0
B.6×1066\times 10^6
C.60×10660\times 10^{-6}
D.6×1066\times 10^{-6}
Question 12mcq
Which is greater: 4.1×1064.1\times 10^6 or 5.1×1055.1\times 10^5?
A.They are equal
B.5.1×1055.1\times 10^5 is greater
C.They cannot be compared
D.4.1×1064.1\times 10^6 is greater