Answer
A) $$a^{(b+c)}$$
B and c are the exponents and A the base.
B) $$a^{(b)(c)}$$
Work Step by Step
A) When you multiply two powers of the same number, what should you do with the exponents?
$$(2^{3})(2^{5})$$
In this case you have to leave the same base and add the exponents
$$2^{3+5}$$ $$x^{8}$$
B) When you raise a power to a new power, what should you do with the exponents?
$$[(4^{2})^{3}]$$
In this case you have to multiply the exponents and leave the same base.
$$4^{(2)(3)}$$ $$4^{6}$$
