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(a^m)^n=a^mn and a^0 = 1

Question 64In...

Question

Question 64

In the following question, fill in the blanks to make the statements true.

The value of $(- 7)^{6} \div 7^{6}$ is ___ .

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Solution

Using law of exponents ,
$a^{m} \div a^{n} = (a)^{m - n}$

$∴ (- 7)^{6} \div 7^{6} = (- 1)^{6} (7)^{6} \div (7)^{6} = (1) (7)^{6 - 6} = (7)^{0} = 1$

Hence,
$(- 7)^{6} \div 7^{6} = 1$

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(a^m)^n=a^mn and a^0 = 1

Standard VI Mathematics

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