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Question
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
Options
True
False
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Solution
This statement is True.
Explanation:
Using laws of exponents,
am ÷ an = (a)m – n and `(a/b)^m = a^m/b^m` ...[∵ a and b are non-zero integers]
∴ `(-2)^4 xx (5/2)^4 = (2)^4 xx (5)^4/(2)^4`
= (2)4 – 4 × 54
= 20 × 54 ...[∵ (–am) = (am), if m is an even number]
= 54
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