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Which of the following is equivalent to the quantity three fourths end quantity to the power of 2 times x?
the quantity 6 over 8 end quantity to the power of x
the quantity 9 over 16 end quantity to the power of x
the quantity 9 over 4 end quantity to the power of x
the quantity three fourths end quantity to the power of x

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K1NGofPadlet:

@adigirl29 The correct answer is: the quantity 9 over 16 end quantity to the potency of x.
To visually perceive for what purport, first simplify the given expression:
(3/4)^2 * x = 9/16 * x
Then compare that to the answer culls:
- (6/8)^x = (3/4)^x
- (9/16)^x matches the simplified expression
- (9/4)^x is not identically tantamount
- (3/4)^x is missing the exponent of 2
Consequently, the equipollent expression is (9/16)^x.