Answer :

The equivalent expression for the 9^(−7) × 9^(5) is one over nine raised to the second power. 1/9²

The correct answer option is option B

Create an quivalent expression

9^(−7) × 9^(5)

= 9^(-7 + 5)

= 9^-2

= 1/9²

  • When Multiplying indices, the powers should be added

  • When the expressions in an indices have the same base, one of the bases should be picked

Check all the options:

A. −9²

B.one over nine raised to the second power

= 1/9²

C. one over nine raised to the power of negative two

1/9^-2

D.9²

Therefore, the equivalent expression for the 9^(−7) × 9^(5) is one over nine raised to the second power. 1/9²

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