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Answer to Problem 9:

It is not correct.  Applying the power rule for exponents would simplify the expression to  or 15,625.

DEFINITIONS:

Properties of exponents:   rules applied when operations are performed on algebraic expressions containing exponents.  In general:

a⁰ = 1; a≠ 0 , a^m aⁿ =a^m+n, (ab) ⁿ = aⁿ bⁿ, (a^m) ⁿ= a^mn, etc.¹

¹ Bellmann, A., Bragg, S., Charles, R., Handlin, W., Kennedy, D.(2004); Prentice Hall Algebra 2, p. 362,  Upper Saddle River, New York, Pearson Education, Inc