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Homework Practice

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Power Play: Final Assessment

Section A: Concepts

Question 1mcq
Write 2×2×2×2×2×22 \times 2 \times 2 \times 2 \times 2 \times 2 using exponents.
A.626^2
B.1212
C.262^6
D.88
Question 2mcq
Evaluate 343^4.
A.8181
B.7878
C.1212
D.77
Question 3mcq
Simplify x6×x3x^6\times x^3.
A.x9x^9
B.x18x^18
C.x3x^3
D.2x92x^9
Question 4mcq
Simplify a12÷a5a^12\div a^5, where a≠0a\neq 0.
A.a7a^7
B.11
C.a60a^60
D.a17a^17
Question 5mcq
Simplify (m2)3(m^2)^3.
A.m1m^1
B.m5m^5
C.m2m^2
D.m6m^6
Question 6mcq
Write 7200000072000000 in scientific notation.
A.7×1087\times 10^8
B.7.2×1067.2\times 10^6
C.7.2×1077.2\times 10^7
D.72000000×10072000000\times 10^0
Question 7mcq
A wire thickness is about 0.000350.00035 m. Which is this length in scientific notation?
A.0.00035×1000.00035\times 10^0
B.3.5×10−43.5\times 10^{-4}
C.3.5×1043.5\times 10^4
D.35×10−435\times 10^{-4}
Question 8mcq
Which is greater: 2.8×1082.8\times 10^8 or 3.8×1073.8\times 10^7?
A.They cannot be compared
B.3.8×1073.8\times 10^7 is greater
C.They are equal
D.2.8×1082.8\times 10^8 is greater

Section B: Skills

Question 9mcq
Write 5×5×5×55 \times 5 \times 5 \times 5 using exponents.
A.545^4
B.99
C.454^5
D.2020
Question 10mcq
Evaluate 434^3.
A.6060
B.1212
C.6464
D.77
Question 11mcq
Simplify x2×x7x^2\times x^7.
A.x14x^14
B.2x92x^9
C.x9x^9
D.x5x^5
Question 12mcq
Simplify a8÷a3a^8\div a^3, where a≠0a\neq 0.
A.a5a^5
B.a11a^11
C.11
D.a24a^24
Question 13mcq
Simplify (m3)2(m^3)^2.
A.m5m^5
B.m6m^6
C.m3m^3
D.m−1m^-1
Question 14mcq
Write 305000305000 in scientific notation.
A.3×1063\times 10^6
B.305000×100305000\times 10^0
C.3.05×1053.05\times 10^5
D.3.05×1043.05\times 10^4
Question 15mcq
A bacteria length is about 2e−062e-06 m. Which is this length in scientific notation?
A.2e−06×1002e-06\times 10^0
B.20×10−620\times 10^{-6}
C.2×10−62\times 10^{-6}
D.2×1062\times 10^6
Question 16mcq
Which is greater: 3.2×1053.2\times 10^5 or 4.2×1044.2\times 10^4?
A.They cannot be compared
B.They are equal
C.4.2×1044.2\times 10^4 is greater
D.3.2×1053.2\times 10^5 is greater

Section C: Applications

Question 17mcq
Write 3×3×3×3×33 \times 3 \times 3 \times 3 \times 3 using exponents.
A.88
B.1515
C.535^3
D.353^5
Question 18mcq
Evaluate 636^3.
A.1818
B.216216
C.99
D.210210
Question 19mcq
Simplify x3×x4x^3\times x^4.
A.x1x^1
B.x12x^12
C.2x72x^7
D.x7x^7
Question 20mcq
Simplify a10÷a4a^10\div a^4, where a≠0a\neq 0.
A.a14a^14
B.11
C.a40a^40
D.a6a^6
Question 21mcq
Simplify (m4)2(m^4)^2.
A.m8m^8
B.m−2m^-2
C.m6m^6
D.m4m^4
Question 22mcq
Write 900000000900000000 in scientific notation.
A.9×1099\times 10^9
B.9×1089\times 10^8
C.900000000×100900000000\times 10^0
D.9×1079\times 10^7
Question 23mcq
A cell diameter is about 6e−066e-06 m. Which is this length in scientific notation?
A.60×10−660\times 10^{-6}
B.6e−06×1006e-06\times 10^0
C.6×1066\times 10^6
D.6×10−66\times 10^{-6}
Question 24mcq
Which is greater: 4.1×1064.1\times 10^6 or 5.1×1055.1\times 10^5?
A.4.1×1064.1\times 10^6 is greater
B.5.1×1055.1\times 10^5 is greater
C.They are equal
D.They cannot be compared

Section D: Reasoning

Question 25mcq
Write 10×10×1010 \times 10 \times 10 using exponents.
A.3030
B.3103^10
C.10310^3
D.1313
Question 26mcq
Evaluate 252^5.
A.1010
B.77
C.3030
D.3232
Question 27mcq
Simplify x5×x2x^5\times x^2.
A.x7x^7
B.x3x^3
C.2x72x^7
D.x10x^10
Question 28mcq
Simplify a7÷a2a^7\div a^2, where a≠0a\neq 0.
A.11
B.a9a^9
C.a14a^14
D.a5a^5
Question 29mcq
Simplify (m2)5(m^2)^5.
A.m2m^2
B.m10m^10
C.m3m^3
D.m7m^7
Question 30mcq
Write 46000004600000 in scientific notation.
A.4.6×1064.6\times 10^6
B.4600000×1004600000\times 10^0
C.4.6×1054.6\times 10^5
D.4×1074\times 10^7
Question 31mcq
A grain width is about 8e−058e-05 m. Which is this length in scientific notation?
A.8×1058\times 10^5
B.80×10−580\times 10^{-5}
C.8×10−58\times 10^{-5}
D.8e−05×1008e-05\times 10^0
Question 32mcq
Which is greater: 7.5×1047.5\times 10^4 or 8.5×1038.5\times 10^3?
A.8.5×1038.5\times 10^3 is greater
B.They cannot be compared
C.They are equal
D.7.5×1047.5\times 10^4 is greater