Yelena assets that expressions for the exponential functions g(x) = 7 (1.5) ^4x. and h(x) = 7(5.0625) ^ x are equivalent. Show and explain why she is, or is not, correct.

Yelena is correct.

Step-by-step explanation:

Yelena asserts that the two functions:

Are equivalent.

She is indeed correct. Recall the power of a power property for exponents:

Therefore, we can rewrite function g as:

Evaluate the inner expression:

Therefore:

Hence, Yelena is correct.

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this is the answer for you hope it

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents