Question

evaluate the following

${3}^{ - 5} \div {3}^{ - 7} \div {3}^{ - 2}$

${8}^{8} \div {8}^{5} \times {8}^{ - 3}$
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Answer 1

Answer:

1) 3^-5÷3^-7÷3^-2

we know a^m÷a^n=a^m-n

3^-5-(-7)÷3^-2

3^2÷3^-2

using same property again and

=3⁰

=1

2) 8⁸÷8⁵×8^-3

we know a^m÷a^n=a^m-n

8^8-5×8^-3

8^3×8^-3

we know a^m×a^n=a^m+n

8⁰

=1

hope it helps you