To find the simplified expression for (7^2)(y^3)(z^4)^2, we need to apply the exponent rules.
First, we can simplify the exponent 2 due to the power of a power rule:
(7^2)(y^3)(z^4)^2 = 7^(2*1)(y^3)(z^4)^2 = 7^(2)(y^3)(z^8)
Next, we can simplify the exponent 2 for (z^4)^2 by applying the power of a power rule:
7^(2)(y^3)(z^4)^2 = 7^(2)(y^3)(z^(4*2)) = 7^(2)(y^3)(z^8)
Thus, the simplified expression is 7^(2)(y^3)(z^8).
(7^2y^3z^4)^2
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