Q.6 find the missing number in which of the following pair.
Q.7 Express each of the following number as the product of powers of prime factor.
Q8. simplify.
Q.9. evaluate.
Q.10 compare.
Answers
6a. 2⁵>5² b.3⁴>4³
8a.3×4²
=3×16
=48
b.8²×5²
=64×25
=15000
c. 2³×10²
=8×100
=800
d. 4³×3²
=64×9
=576
9a. (-3)³=-27
b.(-5)⁴=-625
c.(-2)²×(-4)³=4×-64=-176
d.5³×(-1)⁶=125×1=125
Q.6
a. 2^5 = 2×2×2×2×2
= 32
5^2 = 5×5
= 25
• 2^5 is the bigger
b. 3^4 = 3×3×3×3
= 81
4^3 = 4×4×4
= 64
• 3^4 is the bigger
Q.7
a. 324
= 2×2×3×3×3×3
= 2^2×3^4
b. 1728
= 2×2×2×2×2×2×3×3×3
= 2^6×3^3
c. 5000
= 2×2×2×5×5×5×5
= 2^3×5^4
d. 5488
= 2×2×2×2×7×7×7
= 2^4×7^3
Q.8
a. 3×4^2
= 3×(2×2)^2
= 3×2^2×2^2
= 48
b.8^2×5^2
= (4×2)^2×5×5
= 4^2×2^2×25
=1600
c.2^3×10^2
= 2×2×2×10×10
= 800
d.4^3×3^2
= 4×4×4×3×3
= 576
Q.9
a.(-3)^2
= 1
(3)^2
= 1
9
b.(-5)^4
= 1
(5)^4
= 1
625
c.(-2)^2×(-4)^3
= 1 × 1
(2)^2 (4)^3
= 1 × 1
4 64
Q.10
a. 3.5×10^4 is the bigger
3.5 ×(5×2)^4
3.5×5^4×2^4
35000
b. 3.75×10^3
3.75×(5×2)^3
3.75×5^3×2^3
3750
HOPE IT HELPS YOU ✌
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