Question

STEP BY STEP EXPLANATION THANK YOUU​

Answer 1

Answer:

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Step-by-step explanation:

$1. QUESTION :-$

Express the following numbers as a product of power of prime factors:-

$ANSWER :-$

i) 72 = 2³×3²

ii) 432 = $2^{4}×3^{3}$

iii) 1000 = $2^{3}×5^{3}$

iv) 16000 = $2^{7}×5^{3}$

$2. QUESTION :-$

Express the following numbers using exponential notation:-

$ANSWER :-$

i) 512 = $2×2×2×2×2×2×2×2×2=2^{9}$

ii) 343 = $7×7×7 =7^{3}$

iv) 729 = $9×9×9 =9^{3}$

v) 3125 = $5×5×5×5×5 =5^{5}$

$3. QUESTION :-$

Simplify:-

$i) (-4)^{3}=-64$

$ii) (-3)×(-2)^{3}=(-3)×(-8)=24$

$iii) (-3)^{2}×(-5)^{2} =9×25=225$

$iv) (-2)^{3}×(-10)^{3} =(-8)×(-1000)=8000$

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Answer 2

Answer:

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