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 .

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%