Question

I need help
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

Answer 1

@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.