CA Foundation Exam > CA Foundation Questions > {(33)2 × (42)3 × (53)2} / {(32)3 &#...
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{(33)2 × (42)3 × (53)2} / {(32)3 × (43)2 × (52)3} is
- a)3/4
- b)4/5
- c)4/7
- d)1
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
{(33)2 × (42)3 × (53)2} / {(32)3 × (43)2 × (52)3} ...
Given:
{(33)2 (42)3 (53)2} / {(32)3 (43)2 (52)3}
We can simplify this expression by using the following properties of exponents:
a) (am)n = amn
b) am / an = am-n
Using property a), we can rewrite the expression as follows:
(3^6 * 4^9 * 5^6) / (3^6 * 4^6 * 5^9)
Using property b), we can simplify this expression as follows:
3^(6-6) * 4^(9-6) * 5^(6-9)
= 4^3 / 5^3
= 64 / 125
Therefore, the answer is option D) 1.
{(33)2 (42)3 (53)2} / {(32)3 (43)2 (52)3}
We can simplify this expression by using the following properties of exponents:
a) (am)n = amn
b) am / an = am-n
Using property a), we can rewrite the expression as follows:
(3^6 * 4^9 * 5^6) / (3^6 * 4^6 * 5^9)
Using property b), we can simplify this expression as follows:
3^(6-6) * 4^(9-6) * 5^(6-9)
= 4^3 / 5^3
= 64 / 125
Therefore, the answer is option D) 1.
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Community Answer
{(33)2 × (42)3 × (53)2} / {(32)3 × (43)2 × (52)3} ...
Use the formula {(a)^m}^n = a^mn . then simplify the numerator and the denominator. you'll get the answer
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{(33)2 × (42)3 × (53)2} / {(32)3 × (43)2 × (52)3} isa)3/4b)4/5c)4/7d)1Correct answer is option 'D'. Can you explain this answer?
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