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NCERT Exemplar Solutions Class 7 Mathematics Solutions for Exponents and Powers - Exercise in Chapter 11 - Exponents and Powers

Question 47 Exponents and Powers - Exercise

(-3/5)100 = (-3 100/-5 100)

Answer:

True.

Consider the LHS = (-3/5)100

-3 can be written as = (-1 × 3)

So, ((-1 × 3)/5)100

= (-1 100 × 3 100)/5100 = (1 × 3 100)/5100

= 3100/5100

Then, consider the RHS = -3

100/-5 100

= 3100/5100

By comparing LHS and RHS,

LHS = RHS

3 100/5100 = 3100/5100

Therefore, (-3/5)100 = (-3 100/-5 100)

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