By the properties of exponent, we know that a^x×a^y = a^x+yBy using above property ( 3)^2×( 3)^5 = ( 3)^2+5Hence, the correct option is ( 3)^2+5. ...

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Question

${(- 3)}^{2} \times {(- 3)}^{5} =_______({(- 3)}^{2 \times 5} / {(- 3)}^{2 + 5})$

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Solution

By the properties of exponent, we know that -
$a^{x} \times a^{y} = a^{x + y}$
By using above property -
${(- 3)}^{2} \times {(- 3)}^{5} = {(- 3)}^{2 + 5}$
Hence, the correct option is ${(- 3)}^{2 + 5}$ .

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