Simplify the following exponential expression. show your work step by step and list the properties of exponents used to solve this problem next to your work. 3x^{0}(2x^{3}t^{2})^{4} (4x^{7}y^{4})^{2}

Given problem is

distribute outer exponents using formula: , we get:

Simplify exponents:

plug

simplify exponents

simplify (closure property)

simplify exponent part using formula : we get:

Simplify exponents:

send term to denominator to avoid negative exponent

Hence final answer is .

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multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.