Question

3-² x 3-⁵is equal to:
(a) 3-⁷
(b) 3-²​

Answer 1

$\huge\bf\underline{\red{A}\purple{n}\pink{s}\orange{w}\blue{e}\green{r}}$

=⟩ $3^{ - 2} \times 3^{ - 5} \: is \: equal \: to \: 3^{ - 7}$

Hope this helps ❤️

Answer 2

${3}^{ - 2} \times {3}^{ - 5}$

${a}^{m} \times {a}^{n} = {a}^{m + n}$

$therefore \: \\ {3}^{ - 2} \times {3}^{ - 5} \\ = {3}^{ (- 2) + ( - 5)} \\ = {3}^{ - 2 - 5} \\ = {3}^{ - 7}$

This is the required answer...

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