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Question
Simplify and express the following in exponential form:
((52)3 × 54) ÷ 57
Sum
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Solution
[(52)3 × 54] ÷ 57
= [52 × 3 × 54] ÷ 57 ...(am)n = amn
= [56 × 54] ÷ 57
= [56 + 4] ÷ 57 ...(am × an = am + n)
= 510 ÷ 57
= `5^((10 − 7))` ...(am ÷ an = am − n)
= 53
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Chapter 11: Exponents and Powers - EXERCISE 11.2 [Page 181]
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